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Two men A and B of mass M and 2M are standing 120° apart on a circular platform of mass 4M and radius R. The platform is free to rotate about its centre, while men are standing at periphery. Now men interchange their position with respect to disc by walking along periphery only. If ∆theta represents magnitude of angle rotated by platform with respect to the ground, find the ratio of ∆theta(max)/∆theta(min).

A) 1  B) 2  C)5  D) 4

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A and B can swipe their position by walking clockwise/ anticlockwise For \(\Delta\theta_{max}:A\)should turn 120° (clockwise) while B should turn 240° (clockwise)

Conserving angular momentum about C:

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