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 as shown in ( . 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?
Which of the following describes the relationship between and ?
ωA>ωB
ωB>ωA
ωA=ωB