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A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its center. A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity ω0. When the tortoise moves along a chord of the platform with a constant velocity (with respect to the platform), the angular velocity of the platform ω(t) will vary with time t as

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a

b

c

d

answer is B.

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Detailed Solution

The angular momentum (Z) of the system is conserved, i.e. L= Iω = constant When the tortoise walks along a chord, it first moves closer to the center and then away from the center. Hence, M.I. first decreases and then increases. As a result, ω will first increase and then decrease. Also the change in ω will be non-linear function of time.

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A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its center. A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity ω0. When the tortoise moves along a chord of the platform with a constant velocity (with respect to the platform), the angular velocity of the platform ω(t) will vary with time t as