Q.

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 platform. Now the platform is given an angular velocity ω0. When the tortoise moves along the chord of the platform with a constant velocity (with respect to the platform); The angular velocity of platform ω(t) will vary with time t as

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a

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b

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c

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d

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answer is B.

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Detailed Solution

Since there is no external torque, angular momentum remains conserved. 

As moment of inertia initially decreases and then increases, the ω will increase initially and then decrease. 

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Moment of inertial when tortoise is at B

I=mr2+MR22; where r2=a2+R2-a2-vt2

M=mass of tortoise; M=mass of disc. 

Therefore, the variation of ω is non-linear.

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