Chapter 9: Rotational Motion

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# Chapter 9: Rotational Motion - PowerPoint PPT Presentation

Chapter 9: Rotational Motion. Rigid body instead of a particle Rotational motion about a fixed axis Rolling motion (without slipping). Angular Quantities. Kinematical variables to describe the rotational motion:  Angular position, velocity and acceleration. “ R ” from the Axis (O).

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## Chapter 9: Rotational Motion

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Presentation Transcript
Chapter 9: Rotational Motion

Rigid body instead of a particle

Rotational motion about a fixed axis

Rolling motion (without slipping)

Rotational Motion

Angular Quantities

Kinematical variables to describe the rotational motion:

Angular position, velocity and acceleration

Rotational Motion

“R” from the Axis (O)

Solid Disk

Solid Cylinder

Rotational Motion

Linear and Angular Quantities

atan

Rotational Motion

Kinematical Equations

Rotational Motion

Chapter 10: Rotational Motion (II)

Rigid body instead of a particle

Rotational motion about a fixed axis

Rotational dynamics

Rolling motion (without slipping)

Rotational Motion

Angular Quantities: Vector

Kinematical variables to describe the rotational motion:

Angular position, velocity and acceleration

Vector natures

z

R.-H. Rule

y

x

Rotational Motion

Rotational Dynamics: t

(a)

ax

la

(b)

a

lb

m

I

Rotational Motion

Note: t = F R sinq

Rotational Motion

Note: sign of t

Rotational Motion

Rotational Dynamics: I

m2

m1

m3

Rotational Motion

Rotational Dynamics: I

d

Rotational Motion

Parallel-axis Theorem

d

Rotational Motion

Parallel-axis Theorem

Rotational Motion

Example 1

Calculate the torque on the 2.00-m long

beam due to a 50.0 N force (top) about

(a) point C (= c.m.)

(b) point P

Calculate the torque on the 2.00-m long

beam due to a 60.0 N force about

(a) point C (= c.m.)

(b) point P

Calculate the torque on the 2.00-m long

beam due to a 50.0 N force (bottom) about

(a) point C (= c.m.)

(b) point P

Rotational Motion

Example 1 (cont’d)

Calculate the net torque on the 2.00-m