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

2. Concepts of rotational motion

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

6. Rotational Motion Angular Quantities: Vector Kinematical variables to describe the rotational motion:  Angular position, velocity and acceleration  Vector natures x y z R.-H. Rule

7. Rotational Motion “R” from the Axis (O) Solid DiskSolid Cylinder

8. Rotational Motion Kinematical Equations for constant angular acceleration

9. Rotational Motion

10. College Physics: Motion along a Straight Line On a merry-go-round, you decide to put your toddler on an animal that will have a small angular velocity. Which animal do you pick? A.Any animal; they all have the same angular velocity B.One close to the hub C.One close to the rim

11. Rotational Motion v tan = same = r 1  1 = r 2  2 Tooth spacing is the same 2r12r1 N1N1 2r22r2 N2N2 = 22 11 = N2N2 N1N1

12. Rotational Motion =0.8 x50=40 m/s =10^2x0.8=80m/s w=10 rad/s 3

13. Rotational Motion

14. Finding the moment of inertia for common shapes

15. Rotational Motion

17. 9-36

18. Rotational Motion

20. Conservation of energy in a well +0 Find the speed v of the bucket and the angular velocity w of the cylinder just as the bucket hits the water

21. Rotational Motion

22. Relationship between Linear and Angular Quantities a tan a rad