Question: A thin uniform square plate with side l and mass M can rotate freely about a stationary vertical axis coinciding with one of its sides.

A thin uniform square plate with side l and mass M can rotate freely about a stationary vertical axis coinciding with one of its sides. A small ball of mass m flying with velocity v at right angles to the plate strikes elastically the centre of it. Find:
(a) The velocity of the ball v' after the impact;
(b) The horizontal component of the resultant force which the axis will exert on the plate after the impact.

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