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A person of 80 kg mass is standing on the rim of a circular platform of mass 200 kg rotating about its axis at 5 revolutions per minute (rpm). The person now starts moving towards the centre of the platform. What will be the rotational speed (in rpm) of the platform when the person reaches its centre _______.

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answer is 0009.00.

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Detailed Solution

Conservation of angular momentumI1ω1=I2ω2⇒MmRm2+McRc22ω1=MmR'm2+McR'c22ω2⇒80R2+200R225=8002+200R22ω∵R'm=0 as he came to centre⇒ω=5×180100=9 rpm

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