Chapter 11 Rolling, Torque, and Angular Momentum In this chapter we will cover the following topics: -Rolling of circular objects and its relationship.

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Presentation transcript:

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)

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

(11-3)

A B vAvA vBvB vTvT vOvO (11-4)

(11-5).

(11-6)

a com (11-7)

a com (11-8)

y a com (11-9)

B (11-10)

B (11-11)

(11-12)

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

(11-14)

(11-15)

(11-16)

y-axis (11-17)

(11-18)