A Merry-go-round, made of a ring-like platform of radius R and mass M, is revolving with angular speed ω. A person of mass M is standing on it. At one instant, the person jumps off the round, radially away from the centre of the round (as seen from the round). The speed of the round afterwards is
As there is no external torque as jump is radially away.
Applying conservation of angular momentum
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As the person jump with angular velocity w. Hence its angular momentum at that time is
. So final angular momentum is
for the person.
So
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Hence option b is correct.
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