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A uniform rod of length l and mass 2m re...

A uniform rod of length `l` and mass `2m` rest on a smooth horizontal table. A points mass `m` moving horizontally at right angles to the rod with an initial velocity `v` collides with one end of the rod and sticks to it.
Determine
(a) the angular velocity of the system after collision,
(b) the position of the point on the rod which remains stationary immediately after collision,
(c) the chabge in kinetic energy of the system as a result of the collision.

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