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Vectorial Dynamics

Vectorial Dynamics

introduction

1.质点动力学

Dynamics of a

particle/mass point

2.动力学普遍

general(universal)

principles

3.达朗伯原理

principle of

D'Alembert

Dynamics of a

particle/mass point

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

Dynamics of a

particle/mass point

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

Dynamics of a

particle/mass point

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

differential equation of motion 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

of a particle relative to inertial reference frame

vector methods

Dynamics of a

particle/mass point

plojective equation on natural

coordinates/normal-tangential coordinates

differential equation of motion

of a particle relative to inertial reference frame

§1质点运动微

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

t 瞬时：矢径 r，速度v

§3质点动力学

differential equation of motion 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

of a particle relative to inertial reference frame

vector methods

Dynamics of a

particle/mass point

plojective equation on natural

coordinates/normal-tangential coordinates

differential equation of motion

of a particle relative to inertial reference frame

§1质点运动微

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

vector method

vector methods

Dynamics of a

particle/mass point

plojective equation on natural

coordinates/normal-tangential coordinates

differential equation of motion

of a particle relative to inertial reference frame

§1质点运动微

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

plojective equation on rectangular coordinates 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

vector methods

Dynamics of a

particle/mass point

plojective equation on natural

coordinates/normal-tangential coordinates

differential equation of motion

of a particle relative to inertial reference frame

§1质点运动微

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

plojective equation on natural 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

coordinates/normal-tangential coordinates

vector methods

Dynamics of a

particle/mass point

plojective equation on natural

coordinates/normal-tangential coordinates

differential equation of motion

of a particle relative to inertial reference frame

§1质点运动微

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

§2非惯性坐标

Fτ、Fn、Fb分别是合力F

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

vector methods

Dynamics of a

particle/mass point

plojective equation on natural

coordinates/normal-tangential coordinates

differential equation of motion

of a particle relative to inertial reference frame

§1质点运动微

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

differential equation of motion of 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

a particle relative to a noninertial reference frame

Dynamics of a

particle/mass point

differential equation of motion of

a particle relative to a noninertial reference frame

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

differential equation of motion of 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

a particle relative to a noninertial reference frame

Dynamics of a

particle/mass point

differential equation of motion of

a particle relative to a noninertial reference frame

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

m ( ae＋ar＋ ac ) ＝ F

differential equation of motion of 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

a particle relative to a noninertial reference frame

Dynamics of a

particle/mass point

differential equation of motion of

a particle relative to a noninertial reference frame

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

differential equation of motion of 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

a particle relative to a noninertial reference frame

Dynamics of a

particle/mass point

differential equation of motion of

a particle relative to a noninertial reference frame

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

differential equation of motion of 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

a particle relative to a noninertial reference frame

Dynamics of a

particle/mass point

differential equation of motion of

a particle relative to a noninertial reference frame

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

⑴ 当动坐标系作平动时，ac＝ 0， 则 Qc＝ 0　　　 　　　　　故 　mar＝ F＋Qe⑵ 若动坐标系作匀速直线平动时，ac＝ 0，ae＝ 0，

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

differential equation of motion of 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

a particle relative to a noninertial reference frame

Dynamics of a

particle/mass point

differential equation of motion of

a particle relative to a noninertial reference frame

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

⑶ 若质点相对于动坐标系作匀速直线运动，则称为该质点处于

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

⑷ 若质点在动坐标系中保持相对静止，这时 ar＝ 0 ,

vr＝ 0 ,ac＝ 0， Qc＝ 0 . 故 　0 ＝ F＋Qe　 即：质点保持相对静止时，作用于质点上的力F与牵连惯

differential equation of motion of 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

a particle relative to a noninertial reference frame

Dynamics of a

particle/mass point

differential equation of motion of

a particle relative to a noninertial reference frame

§1质点运动微

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

（请考虑如何做？）

§3质点动力学

general(universal) principles of dynamics 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

general(universal) principles

of dynamics

example1

example2

§1质点运动微

example3

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

general(universal) principles of dynamics 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

general(universal) principles

of dynamics

example1

example2

§1质点运动微

example3

differential equation

of motion

of a particle

§2非惯性坐标

★已知力求运动规律

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example1 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example1 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

§2非惯性坐标

solution

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example1 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

solution

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example1 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

F ‘=－F 。 从F 的表达式可见，F 的大小

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

solution

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

y

§3质点动力学

example1 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example1 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example1 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

solution

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example1 动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

solution

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

FBC＝58.8 (N)

example3动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example3动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

Solution：

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example3动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

Solution：

differential equation

of motion

of a particle

§2非惯性坐标

∵在地球表面：引力等于重量，即 mg＝GMm / R2　即 　g R 2＝GM（R ---- 地球半径）∴ 　　F＝g R 2 m / z2（力是位置的函数）

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

O点在地心，OZ铅垂向上为正，列出质点运动微分方程式：

t ＝0 时 z＝z 0，v＝ v 0

example3动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

Solution：

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example3动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

Solution：

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

example3动力学的基本问题归结为两类：已知运动求力和已知力求运动。亦有些问题则介乎二者之间，即已知部分运动和力求部分未知的运动和力。在解决动力学问题时，一方面要象静力学中一样对研究对象进行受力分析，另一方面还要进行运动分析，即判明那些运动是已知的，那些是未知的，然后取适当的投影形式建立质点运动微分方程并求解之。

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

§1质点运动微

example1

example3

differential equation

of motion

of a particle

Solution：

§2非惯性坐标

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

§3质点动力学

general(universal)

principles of

dynamics

§1基本力学量

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

§1基本力学量

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

§1基本力学量

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

§1基本力学量

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

§1基本力学量

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

center of mass of particle systems动力学三个普遍定理是动力学的重点内容，在工程中有广泛的应用。它们从不同的侧面反映了机械运动的规律。正确分析质点系所受外力，熟练计算质点系的动量、动量矩、动能及转动惯量、功是应用普遍定理的关键。

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆质心：质点系的质量分布中心，一般用C表示质心。◆ 质心的位置和质点系各质点的质量分布有关。◆ 质心的位置可用矢径确定如下：

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

center of mass of particle systems动力学三个普遍定理是动力学的重点内容，在工程中有广泛的应用。它们从不同的侧面反映了机械运动的规律。正确分析质点系所受外力，熟练计算质点系的动量、动量矩、动能及转动惯量、功是应用普遍定理的关键。

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 质心位置也可用直角坐标表示:

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

linear momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

linear momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

◆ 质点的动量矩

principle/theorem

of angular

momentum of

particle system

◆ 质点系的动量矩

§4质点系动能

principle/theorem

of kinetic energy

of particle system

◆ 绕定轴转动刚体对转轴x的动量矩

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 质点的动量矩

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 质点的动量矩

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 质点系的动量矩

§3质点系动量

principle/theorem

of angular

momentum of

particle system

● 质点系对某点的动量矩：

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 质点系的动量矩

§3质点系动量

● 质点系对某轴的动量矩:

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 绕定轴转动刚体对转轴的动量矩

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

mass moment of inertia systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

3、匀质细圆环4、匀质圆柱体 这些刚体是常见匀质体，其转动惯量计算要记住。

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

mass moment of inertia systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

JZ‘＝JZC＋Md2

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

mass moment of inertia systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

② 由定理可见 Jz‘ >Jzc　 即：在相互平行的各个轴的所有转动惯量中，通过刚体

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

kinetic energy systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 质点的动能：　　　　　　 ◆ 质点系的动能：

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

kinetic energy systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

◆ 刚体的动能:刚体作平动的动能：

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

A = ±Ph式中：P——重力；h——重心移动的高度差。

c——弹簧刚度系数；

δ1——起始位置弹簧的净变形量；δ2——终了位置弹簧的净变形量；

work of force

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 重力的功、弹性力的功

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

work of force systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆力偶的功、纯滚动时摩擦力和摩擦力偶的功

§3质点系动量

1.力偶的功：

A＝Mφ式中　 M——力偶矩（常量）；φ——转过的角度。

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

2.纯滚动时摩擦力和摩擦力偶的功：AF＝0 (∵vP＝0)AM＝ －Mmax θ

synthetical\composite

examples of

principles of

dynamics

work of force systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 力偶的功、纯滚动时摩擦力和摩擦力偶的功

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

（1）匀质杆，质量为m ，长L，

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

o

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

（2）质量为m ，半径为R的匀

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

（３）圆盘绕 0 轴转动。

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

（注：这里求Jo时应用了平行轴定理）。

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

（４）轮做平面运动（纯滚动）。

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

O 转动。

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

● 整个机构的动量

synthetical\composite

examples of

principles of

dynamics

● 整个机构的动能

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

● 整个机构的动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

examples

§2质点系动量

● 整个机构的动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

● 整个机构的动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

● 整个机构的动量

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

● 整个机构的动量

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

● 整个机构的动量

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

● 整个机构的动量

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

● 整个机构的动能

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

（1）曲柄作定轴转动，动能：

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

● 整个机构的动能

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

（2）滑块B、D作平动，规尺BD 作平面运动，要求它们的动能，

（即BD杆角速度与OA角速度相同）。

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

● 整个机构的动能

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

§1基本力学量

center of mass of

particle systems

calculations of

basic mechanics

quantities

velocity and acceleration

for center

of mass of particle systems

mass moment of inertia

work of force

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

1、导数形式：dP/dt ＝∑F e　 即： 质点系的动量对时间的导数等于作用于该质点系的

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

（应用时常采用的形式）

synthetical\composite

examples of

principles of

dynamics

of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

2、积分形式： 　　　　　P2－P1＝∑I e　　 即： 在某一时间间隔内，质点系动量的改变等于作

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

3、质点系动量守恒定律　　　　（1）如∑F e≡0，则 P＝常矢量　　　　（2）如∑Fxe ≡0，则 Px＝常量　　 即：如果作用于质点系的所有外力的矢量和等于零，则

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

center of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

1、质心运动定理　 质心运动定理是质点系动量定理的另一种形式，可由质点

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

center of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

M ac＝ ∑F e——称为质心运动定理。

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

center of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

2、质心运动守恒　（1）若∑F e ≡0，则ac＝ 0，vc＝ 常矢量　 　　即当外力系主矢量等于零时，质心的加速度等于零，

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

（1）料石落入水中稳定后，

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

则根据系统动量定理有：

m车v1－m车v0＝－F平均 Δt

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

（注：上式为动量定理在水平方

＝494(N)

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

（因为初速为零）质心C沿铅 垂方向作直线运动。

oy 轴过质心，铅垂向上。

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example3 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

ω绕轴O逆钟向转动。开始时，曲柄OA 位于水平向

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example3 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

solution

§2质点系动量

principle/theorem

of momentum of

particle system

M Xc''＝Fox

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example3 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example3 systems

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

§1基本力学量

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

system and conservation

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

◆对某固定点O 的动量矩定理：

dL0 / dt＝∑m0 ( F e )即：质点系对某固定点O 的动量矩Lo对时间的导数，等于作用于该质点系的所有外力对于同一点之矩的矢量和（即外力系对O 点的主矩）。

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

system and conservation

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆对通过O 点的固定轴的动量矩定理：

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

system and conservation

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 质点系动量矩守恒情况：

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

◆ 刚体定轴转动微分方程式

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

● 矢量形式：

● 投影形式：

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

（或过质心的三根轴）之矩的矢量和（或代数和）。

● 守恒情况：

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

solution

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

（注：对轴的动量矩、力矩均约定

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

solution

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

solution

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

(∵所有外力均平行于Z 轴或

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

solution

§2质点系动量

principle/theorem

of momentum of

particle system

（注：在求人对Z 轴的动量矩时,一定要用绝对速度！）

由动量矩守恒定律，有：

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example3 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example4 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example4 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

solution

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example4 fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

differential equations of

plane motion of a rigid body

§1基本力学量

principle/theorem of angular

momentum of particle

system and conservation

differential equation of

rotation of a rigid body about fixed axis

calculations of

basic mechanics

quantities

examples

§2质点系动量

solution

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

principle/theorem of kinetic energy of particle system

examples

§1基本力学量

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

◆微分形式：dT＝∑dA　　即：质点系动能的微分等于作用在质点系上所有力的元功

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

§1基本力学量

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

◆导数形式：dT / dt＝ ∑dA/dt

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

◆积分形式：T2 － T1＝ ∑A12

式中 　T2——　表示质点系终了位置的动能；T1——　表示质点系起始位置的动能；　∑A1——表示在此过程中所有力的功的总和。

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

general(universal)

principles of

dynamics

§1基本力学量

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

examples fixed axis

general(universal)

principles of

dynamics

§1基本力学量

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

（1）当轴心A 沿斜面下

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

examples fixed axis

general(universal)

principles of

dynamics

principle/theorem of kinetic energy of particle system

examples

§1基本力学量

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

solution

examples fixed axis

general(universal)

principles of

dynamics

§1基本力学量

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

examples fixed axis

general(universal)

principles of

dynamics

§1基本力学量

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

examples fixed axis

general(universal)

principles of

dynamics

§1基本力学量

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

(3)求加速度、角速度时应用导数形式。

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

examples fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

A点。

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

（2）若要求小球的速度，则应用系统

（只有小球重力做功 )

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example1 fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

solution

§2质点系动量

（3）小球从A——>C：总功：∑A＝2mgR

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

T2－ T1＝ ∑AT1＝ 0 （水平位置 ω1＝0）

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

（杆在铅垂位置时的动能）

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

（2）求杆在铅垂位置时轴承O 的约束反力：　　 在铅垂位置时，由转动方程（即动量矩定理） 有：

（因为外力通过O点，所以外力矩为零。）

general(universal)

principles of

dynamics

example2

example3

§1基本力学量

example1

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example2 fixed axis

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

solution

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics

example3

general(universal)

principles of

dynamics

§1基本力学量

example1

example2

example3

calculations of

basic mechanics

quantities

§2质点系动量

principle/theorem

of momentum of

particle system

§3质点系动量

principle/theorem

of angular

momentum of

particle system

§4质点系动能

principle/theorem

of kinetic energy

of particle system

§5动力学普遍定

synthetical\composite

examples of

principles of

dynamics