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A circular platform is free to rotate in...

A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its centre. A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity `omega_(0)`. 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 `omega(t)` will vary with time `t` as

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