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Question

A rod of length / and mass 4m lies on a frictionless horizontal surface on which it is free to move anyway. A ball of mass m moving with speed v. Collides with the rod at one of the ends If ball comes to rest immediately after collision find out angular velocity u) of rod just after collision

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Solution



The angular momentum of the system consisting of ball and rod is constant as no external force is acting.

Hence, initial angular momentum and final angular momentum is conserved about center of mass of rod.

Final angular momentum of ball is 0 as it comes to rest.
Hence, mvl2=Iω=4ml212ω

ω=3v2l

1095032_1046471_ans_08c0e9dbaaa54a3d811b7255bae020dc.jpg

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