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

2. Rotational Motion

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

4. Linear and Angular Quantities
atan
arad
Rotational Motion

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

6. 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

7. Kinematical Equations
Rotational Motion

8. Tooth spacing is the same 2r1 N1 2r2 N2 =
vtan= same = r11= r22
Tooth spacing is the same
2r1 N1
2r2 N2 = 2 1 N1 = N2
Rotational Motion

9. Rotational Motion

10. Rotational Motion

11. Rotational Motion

12. Rotational Motion

13. I =  R2 dm = M ( R12 + R22 ) dm =  dV =  2h RdR 1 2
Rotational Motion

14. Rotational Motion

15. Rotational Motion

16. Rotational Dynamics: I
Rotational Motion

17. Parallel-axis Theorem
Rotational Motion

18. Parallel-axis Theoremd
Rotational Motion

19. Rotational Motion

20. Rotational Motion

21. Rotational Motion

22. Rotational Motion