A man of mass ml stands on the edge of a horizontal uniform disc of mass m2 and radius R which is capable of rotating freely about a stationary vertical axis passing through its centre. At a certain moment the man starts moving along the edge of the disc; he shifts over an angle f' relative to the disc and then stops. In the process of motion the velocity of the man varies with time as v* (t). Assuming the dimensions of the man to be negligible, find: (a) the angle through which the disc had turned by the moment the man stopped; (b) the force moment (relative to the rotation axis) with which the man acted on the disc in the process of motion.
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