A circular platform is free to rotate in a horizontal plane about a ve

1.	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 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
Answer» Correct Answer is: (b) The angular momentum (L) of the system is conserved, i.e., L = Iω = constant. When the tortoise walks along a chord, it first moves closer to the centre and then away from the centre. Hence, I first decreases and then increases. As a result, ω will first increase and then decrease. Also, the change in ω will be a nonlinear function of time.

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 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

Answer»

Correct Answer is: (b)

The angular momentum (L) of the system is conserved, i.e., L = Iω = constant.

When the tortoise walks along a chord, it first moves closer to the centre and then away from the centre. Hence, I first decreases and then increases. As a result, ω will first increase and then decrease. Also, the change in ω will be a nonlinear function of time.

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