1. Chapter 9: Rotational Motion
Rigid body instead of a particle
Rotational motion about a fixed axis
Rolling motion (without slipping)
Rotational Motion

2. Angular Quantities
Kinematical variables to describe the rotational motion:
Angular position, velocity and acceleration
Rotational Motion

3. “R” from the Axis (O)
Solid Disk
Solid Cylinder
Rotational Motion

4. Linear and Angular Quantities
atan
arad
Rotational Motion

5. Kinematical Equations
Rotational Motion

6. 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

7. 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

8. Rotational Dynamics: tax
(a) la
(b) a lb m I
Rotational Motion

9. Note: t = F R sinq
Rotational Motion

10. Note: sign of t
Rotational Motion

11. Rotational Dynamics: I
Rotational Motion

12. Rotational Dynamics: I
Rotational Motion

13. Parallel-axis Theoremd
Rotational Motion

14. Parallel-axis Theorem
Rotational Motion

15. 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 m long
beam due to a 50.0 N force (bottom) about
(a) point C (= c.m.)
(b) point P
Rotational Motion

16. Example 1 (cont’d) Calculate the net torque on the 2.00-m
long beam about
(a) point C (= c.m.)
(b) point P
Rotational Motion