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多媒体双语授课系统. 第三篇:动力学. 动力学. Vectorial Dynamics. Vectorial Dynamics. 导言. introduction. 1. 质点动力学. Dynamics of a particle/mass point. 2. 动力学普遍 定理. general(universal) principles. 动力学的任务是 研究物体的机械运动与作用在物体上的力之间的

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Vectorial Dynamics

Vectorial Dynamics

introduction

1.

Dynamics of a

particle/mass point

2.

general(universal)

principles

12

3.

principle of

D'Alembert


Dynamics of a

particle/mass point

1

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

2 2

3


Fm a

FamFm a

Dynamics of a

particle/mass point

1

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


""F""QeQk

Dynamics of a

particle/mass point

1

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


differential equation of motion

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

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

M m ,F ,oxyz

t rv

r :

3


differential equation of motion

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

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

m a = F

3


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

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


plojective equation on rectangular 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

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3

xyz;FxFyFz F

xyz


plojective equation on natural

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

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

2

FFnFbF

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


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

plojective equation on rectangular coordinates

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


differential equation of motion of

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

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

o x y z ----- o x y z -----

3


differential equation of motion of

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

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

m aa Faa aear ac

3

m ( aear ac ) F


differential equation of motion of

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

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

m ar F Qe Qc Qe maeQc mac

3


differential equation of motion of

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

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

FQeQc

FQe Qc

3


differential equation of motion of

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

differential equation

of motion

of a particle

2

ac 0 Qc 0 mar FQe ac 0ae 0

Qe 0Qc 0 , mar F

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


differential equation of motion of

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

differential equation

of motion

of a particle

2

ar 0 0 FQeQc F

QeQk .

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3

ar 0 ,

vr 0 ,ac 0 Qc 0 . 0 FQe F

Qe.


differential equation of motion of

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

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

M ,G ,L

a

M

3


general(universal) principles of dynamics

Dynamics of a

particle/mass point

general(universal) principles

of dynamics

example1

example2

1

example3

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


general(universal) principles of dynamics

Dynamics of a

particle/mass point

general(universal) principles

of dynamics

example1

example2

1

example3

differential equation

of motion

of a particle

2

t =0 F

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


example1

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

---

OAB

mDOCe OC

3


example1

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

2

solution

:D

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3

F : mg:


example1

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

solution

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

:

AB,

oyAB

3

D


example1

: :

:

AB

F =F F F

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

solution

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

y

3


example1

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


example1

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

2

m =5kg,

v =3.6m/s,AB = BC = 1.2 m ACBC .

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


example1

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

Cmg ,

FAC FBC

solution

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


example1

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

0=0 bn

solution

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3

FAC22.6 (N)

FBC58.8 (N)


example3

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

-----

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3


example3

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

Solution

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3

FGMm / z2

G ----M ----m ----


example3

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

Solution

differential equation

of motion

of a particle

2

mgGMm / R2 g R 2GMR ---- Fg R 2 m / z2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3

OOZ

t 0 zz 0v v 0


example3

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

Solution

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

z 0

zt

3


example3

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

Solution

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

3

z vz 0


example3

Dynamics of a

particle/mass point

example2

general(universal) principles

of dynamics

1

example1

example3

differential equation

of motion

of a particle

Solution

2

differential

equation of

mtion of a particle

relative to a

noninertial

reference frame

z 0,

vz0

z 0 R ,,

3


14 14

""

general(universal)

principles of

dynamics

1

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


1

general(universal)

principles of

dynamics

1

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


2Jz Jz

general(universal)

principles of

dynamics

1

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


3

general(universal)

principles of

dynamics

1

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


4

general(universal)

principles of

dynamics

1

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


center of mass of particle systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

C

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics

M m k


center of mass of particle systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

:

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


velocity and acceleration for center of mass of particle systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


velocity and acceleration for center of mass of particle systems

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


mv

P, :

linear momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


linear momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


angular momentum / moment of momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

x

5

synthetical\composite

examples of

principles of

dynamics


angular momentum / moment of momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


angular momentum / moment of momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

O r mv

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


angular momentum / moment of momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

OOLO

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


angular momentum / moment of momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

:

principle/theorem

of angular

momentum of

particle system

4

,LxLyLz

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


angular momentum / moment of momentum

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics

JZ


mass moment of inertia

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

Jz

12

34

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


mass moment of inertia

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

JZJZCMd2

JzcdM

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


mass moment of inertia

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

z' //zczc z'zc

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

Jz >Jzc

5

synthetical\composite

examples of

principles of

dynamics


kinetic energy

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


kinetic energy

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

:

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics

JP


A = PhPh

:

c

12

work of force

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


work of force

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

1.

AM M

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

2.AF0 (vP0)AM Mmax

synthetical\composite

examples of

principles of

dynamics


work of force

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

(F

)

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

1m L

O

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

o

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

2m R

O

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

0

PmvcmR

OC :

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

Jo

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

OABD B DBD 2L2m1m2OALm1

O

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

OABD

BDPPOAPBDPBPD

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

BDBDA

PBDPBPD2( m1m2 )vA

OAE

POAm1vE

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

:

vAvE ,

vA,

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

C

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

XY

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

OABDBD

1

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

2BDBD

: BD

BDOA

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

BDBD

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

linear momentum

angular momentum /

moment of momentum

kinetic energy

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of momentum

of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

1dP/dt F e

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

:

synthetical\composite

examples of

principles of

dynamics


principle/theorem of momentum

of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

2 P2P1I e

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of momentum

of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

31F e0 P2Fxe 0 Px

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of motion of mass

center of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

1

PMvc dP/dt F e

M d vc/dt F e

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics

M ac F e


principle/theorem of motion of mass

center of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

M ac F e

Mac

()

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of motion of mass

center of particle system and conservation

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

21F e 0ac 0vc

2Fxe 0acx 0vcx

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

200kg150kg20km/h100kg

1

2

0.5s

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

Fxe0 X

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

(m1m2)v0(m1m2m3)v1

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

v1 mm v0( mmm) 15.5 ( km / h )v1

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

F

mv1mv0F t

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

Fm(v0v1)/ t

494(N)

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

494(N),F

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

AB ,L ,, ,CA

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

AB , Fxe 0C

3

principle/theorem

of angular

momentum of

particle system

4

C

C

oy

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

A

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

A

5

synthetical\composite

examples of

principles of

dynamics


example3

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

2

principle/theorem

of momentum of

particle system

3

OOA

m1Am2

CDm3 OA = L

C

O

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example3

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

solution

2

principle/theorem

of momentum of

particle system

O

M Xc''Fox

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example3

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

solution

2

principle/theorem

of momentum of

particle system

Xc''

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example3

O

general(universal)

principles of

dynamics

principle/theorem of motion of mass

center of particle system and conservation

1

principle/theorem of momentum

of particle system and conservation

calculations of

basic mechanics

quantities

examples

solution

2

principle/theorem

of momentum of

particle system

M Xc''Fox

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

O

synthetical\composite

examples of

principles of

dynamics


principle/theorem of angular momentum of particle

system and conservation

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

O

dL0 / dtm0 ( F e )O LoO

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of angular momentum of particle

system and conservation

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

O

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of angular momentum of particle

system and conservation

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

m0 ( F e ) 0Lo mz ( F e ) 0Lz

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


differential equation of rotation of a rigid body about fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


differential equation of rotation of a rigid body about fixed axis

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

Jz

Jz

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics

:


theorem of angular momentum about mass center

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


theorem of angular momentum about mass center

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


theorem of angular momentum about mass center

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


differential equations of plane motion of a rigid body

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

,,.,:

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


differential equations of plane motion of a rigid body

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

:JP mP ( Fe )

P ---PCaP

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

M 1M 2 m1m2(m2 > m1),

r1r2

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

m1gm2g FOXFOY

:v1r1v2r2

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

solution

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

oz

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

:

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

OZ

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4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

m3 ,

J0

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

solution

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

G R OZ PuOZ

r

:

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

solution

principle/theorem

of momentum of

particle system

GPFAX,FAY,FAZ,FBX,FBYmz ( F e ) 0

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

(Z

Z )Z

:Lz Lz1Lz2

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

Lz10,

:

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

Z ,

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example3

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

RPAP

u

1

A2Q

A

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example4

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

principle/theorem

of momentum of

particle system

r ,P

f :

.

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example4

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

solution

PFNF

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example4

123

general(universal)

principles of

dynamics

theorem of angular momentum

about mass center

differential equations of

plane motion of a rigid body

1

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

solution

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of kinetic energy of particle system

general(universal)

principles of

dynamics

principle/theorem of kinetic energy of particle system

examples

1

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

dTdA

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4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of kinetic energy of particle system

general(universal)

principles of

dynamics

1

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

dT / dt dA/dt

3

principle/theorem

of angular

momentum of

particle system

4

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principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


principle/theorem of kinetic energy of particle system

general(universal)

principles of

dynamics

1

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


examples

general(universal)

principles of

dynamics

1

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

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3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


examples

general(universal)

principles of

dynamics

principle/theorem of kinetic energy of particle system

examples

1

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

WPAS :T10

3

principle/theorem

of angular

momentum of

particle system

4

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principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics

solution


examples

general(universal)

principles of

dynamics

1

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

solution

2

principle/theorem

of momentum of

particle system

T2:

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principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


examples

general(universal)

principles of

dynamics

1

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

solution

2

T2T1A12:

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

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principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


examples

general(universal)

principles of

dynamics

1

principle/theorem of kinetic energy of particle system

examples

calculations of

basic mechanics

quantities

solution

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

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5

synthetical\composite

examples of

principles of

dynamics


examples

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

)

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

0O1O2

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m

A

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

:BC

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

solution

2

principle/theorem

of momentum of

particle system

1:

Z

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

solution

2

principle/theorem

of momentum of

particle system

2

A>B AmgR

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3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example1

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

solution

2

3A>CA2mgR

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

30cm,98N,O

A

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O

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3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics

O


example2

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

solution

2

principle/theorem

of momentum of

particle system

OA1

T2 T1 AT1 0 10

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

solution

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

2 5.72( rad / s )

synthetical\composite

examples of

principles of

dynamics


example2

2O

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general(universal)

principles of

dynamics

example2

example3

1

example1

calculations of

basic mechanics

quantities

solution

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example2

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

solution

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

:

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


example3

general(universal)

principles of

dynamics

1

example1

example2

example3

calculations of

basic mechanics

quantities

2

principle/theorem

of momentum of

particle system

3

principle/theorem

of angular

momentum of

particle system

4

principle/theorem

of kinetic energy

of particle system

5

synthetical\composite

examples of

principles of

dynamics


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