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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 move along a chord of the platform with a constant velocity (with respect to the platform), the angular velocity of the platformω(t) will vary with time t as
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A circular platform is free to rotate in a horizontal plane about a ve...
Since there is no external torque, angular momentum remains conserved. As moment of inertia initially decreases and then increases, so ω will increase initially and then decreases.
Note : The M.I. of the system decreases when the tortoise move from A to B and then increases from B to A.
So the variation of w is nonlinear.
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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 move along a chord of the platform with a constant velocity (with respect to the platform), the angular velocity of the platformω(t) will vary with time t asa)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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