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Question

A bullet of mass m moving with a velocity of u just grazes the top of a solid cylinder of mass M and radius R restring on a rough horizontal surface as shown and is embedded in the cylinder after impact. Assuming that the cylinder rolls without slipping, find the angular velocity of the cylinder and the final velocity of the bullet.
986395_7baa25ebcd894501a599680ee1a6971b.jpg

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Solution

Law of Conservation of Angular Momentum
1173508_986395_ans_3cd99368fca045559c8d20fceb3a9703.jpg

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