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A bullet of mass m moving with velocity ...

A bullet of mass `m` moving with velocity `v` strikes and becomes embedded at the edge of a cylinder of mass `M` and radius `R_(0)` as shown in fig. The cylinder, initially at rest, begins to rotate about its symmetry axis, which remains fixed in position. Assuming no frictional torque, what is the angular velocity of the cylinder after this collision? Kinetic energy conseved?

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