1975M2. A bicycle wheel of mass M (assumed to be concentrated at its rim) and radius R is mounted
horizontally so it may turn without friction on a vertical axle. A dart of mass mo is thrown with velocity vo
as shown above and sticks in the tire.
a. If the wheel is initially at rest, find its angular velocity w after the dart strikes.
b. In terms of the given quantities, determine the ratio:
final kinetic energy of the system
initial kinetic energy of the system
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