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?
ωa> ωb
ωb> ωa
ωa=ωb
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