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 . When the tortoise moves along a chord of the

Question

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 $ω_{0}$ . 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 $ω (t)$ will vary with time $t$ as [2002]

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(2)

There is no external torque, angular momentum remains conserved. As moment of inertia initially when the tortoise moves from A to B decreases and then increases when tortoise moves from B to C, so $ω (t)$ will increase initially and then decreases. So the variation of $ω$ is nonlinear.

Solution

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Ans.
(2)

There is no external torque, angular momentum remains conserved. As moment of inertia initially when the tortoise moves from A to B decreases and then increases when tortoise moves from B to C, so $ω$ will increase initially and then decreases. So the variation of $ω$ is nonlinear.

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Solution

1

2

3

4

Ans. (2) There is no external torque, angular momentum remains conserved. As moment of inertia initially when the tortoise moves from A to B decreases and then increases when tortoise moves from B to C, so ω will increase initially and then decreases. So the variation of ω is nonlinear.

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Ans.
(2)

There is no external torque, angular momentum remains conserved. As moment of inertia initially when the tortoise moves from A to B decreases and then increases when tortoise moves from B to C, so $ω$ will increase initially and then decreases. So the variation of $ω$ is nonlinear.