1. Chapter 11 Rolling, Torque, and Angular Momentum In this chapter we will cover the following topics: -Rolling of circular objects and its relationship with friction -Redefinition of torque as a vector to describe rotational problems that are more complicated than the rotation of a rigid body about a fixed axis -Angular momentum of single particles and systems of particles -Newton’s second law for rotational motion -Conservation of angular momentum - Applications of the conservation of angular momentum (11-1)

2. t 1 = 0t 2 = t (11-2)

3. (11-3)

4. A B vAvA vBvB vTvT vOvO (11-4)

5. (11-5).

6. (11-6)

7. a com (11-7)

8. a com (11-8)

9. y a com (11-9)

10. B (11-10)

11. B (11-11)

12. (11-12)

13. O m1m1 m3m3 m2m2 ℓ1ℓ1 ℓ2ℓ2 ℓ3ℓ3 x y z (11-13)

14. (11-14)

15. (11-15)

16. (11-16)

17. y-axis (11-17)

18. (11-18)