A block of mass M has a circular cut with a frictionless surface as shown. The block rests on the horizontal frictionless surface of a fixed table. Initially the right edge of the block is at x = 0, in a co-ordinate system fixed to the table. A point mass m is released from rest at the topmost point of the path as shown and it slides down. When the mass loses contact with the block, its position is x and the velocity is v. At that instant, which of the following options is/are correct?

Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(a, c)
of the block & point mass system = 0
m (x + R) + mx = 0
where x is displacement of the block.

From conservation of momentum and mechanical energy of the combined system
0 = mv - MV


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