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Q.

A circular platform is mounted on a frictionless vertical axle. Its radius R = 2 m and its moment of inertia about the axle is 200 kg m2. It is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1 ms-1 relative to the ground. Time taken by the man to complete one revolution relative to the platform is

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a

π sec

b

3π2 sec

c

2π sec

d

π2sec

answer is C.

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Detailed Solution

From conservation of angular momentum                  I ω = mvr               200 × ω = 50×1×2                ω = 12rad/s                 veloccity of edge of platform = rω = 1 m/s.So velocity of man relative to the platform = (1+1) m/s =2m/s                  T = 2πr/2 =πr=2π s
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