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A "block" of mass"M" moving with velocity "v0" on a smooth horizontal surface, collides with plank of mass "M" kept on the smooth horizontal surface at rest initially. a solid cylinder of same mass "M" is also kept initially at rest on the plank. the cofficent of friction between the plank and cylinder and plank is "x" , and assume the length of plank to be very large, and collision to be perfectly elastic. find:-
1. the velocity of Center of Mass of cylinder when it starts pure rolling on the plank.
2. the velocity of centre of mass of plank when cylinder starts pure rolling.
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