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A uniform rod AB of mass M is attached to a hinge at one end...

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A uniform rod AB of mass M is attached to a hinge at one end A and released from rest from t horizontal position The rod rotates about A and when it reaches the vertical position the r strikes a sphere of mass m and radius r initially at rest on the smooth horizontal surface as show in the adjacent figure The impact is along the horizontal direction and perfectly elastic If at th moment of impact the lowest end of the rod is very close to the smooth horizontal surface Aft the impact the sphere moves along the horizontal and the rod subsequently rises to a maximu of 60 with the vertical Choose the correct statement s form the following taking into accou m 6 2 the information given above The length of the rod equals 2r r 10 Initial postion m final position A a A The ratio M m is 3 2 B The ratio m M is 2 3 C The speed of the sphere just after collision is 6 m s D The speed of the sphere just after collision is 3 m s m

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