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A rectangular plate of mass M of dimensions a x b is hinged along one...

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A rectangular plate of mass M of dimensions a x b is hinged along one edge The plate is maintained in horizontal position by colliding a ball of mass m per unit area elastically 100 times per second this ball is striking on the right half shaded region of the plate as shown in figure Find the required speed of the ball ball is colliding in only half part of the plate as shown It is given M 3 kg m b 2 m a 1 m g 10 m s 0 01 kg JEE 2006 6 184 b 2 XX a

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