1. ROTATIONAL MOTION
Rotation axis: rotation occurs about an axis that does not move: fixed axis

3. Angle is measured in radians
We don’t reset to zero after a complete revolution
Angular Displacement
If a body rotates about a rotation axis angular position of point P will change from to
An angular displacement in the counterclockwise is positive, and one in the clockwise direction is negative.

4. Angular velocity
Average angular velocity:
Instantaneous angular velocity:
is defined not only for any point of the body but also for the whole body.
The magnitude of an angular velocity is called angular speed.

6. Angular acceleration
Average angular acceleration:
Instantaneous angular acceleration:

7. Relating Angular and Linear Variables

9. Constant Angular Acceleration
translation
rotation

11. TORQUE

13. Newton’s 2nd Law for Rotation
translation
rotation

16. Parallel axis theorem
Perpendicular axis theorem

17. Solving Problems in Rotational Dynamics

20. Rotational Kinetic Energy

21. Rotating Rod
A rod of mass M is pivoted on a frictionless hinge at one end. The rod is held horizontally and then released. Determine the angular velocity of the rod when it reaches the vertical position, and the speed of the rod’s tip at this moment.

22. Rotational plus translational motion: Rolling

23. Static friction must be present to make a round object roll.
FFr is perpendicular to the motion and it perform no work