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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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(2)The angular momentum (L) of the system is conserved i.e. L = `Iomega` = constant When the tortoise walks along a chord, it first moves closer to the centre and then away from the centre. Hence, M.I. first decreases and then increases. As a result, `omega` will first increase and then decrease. Also the change in 0,) will be non-linear function of time.
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