Consider a bicycle wheel that initially is not rotating. A block of mass m is attached to the wheel via a string and is allowed to fall a distance h. Assume that the wheel has a moment of inertia I about its rotation axis
Now consider the case that the string tied to the block is wrapped around a smaller inside axle of the wheel of radius rB. Find ωB, the angular speed of the wheel after the block has fallen a distance h, for this case.
Express ωB in terms of m, g, h, rB, and I.
Which of the following describes the relationship between ωA and ωB?
1. ωA>ωB
2. ωB>ωA
3. ωA=ωB