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A uniform rod of mass M and length l is ...

A uniform rod of mass `M` and length `l` is placed on a smooth- horizontal surface with its one end pivoted to the surface. A small ball of mass `m` moving along the surface with a velocity `v_(0)`, perpendicular to the rod, collides elastically with the free end of the rod. Find:
a. the angular velocity of the rod after collision.
b. the impulse applied by the pivot on the rod during collision. (Take `M//m = 2`)

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