A circular platform is free to rotate in a horizontal plane about a vertical axis passing through its center. A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity c.o0. When the tortoise moves along the diameter 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

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 center. A tortoise is sitting at the edge of the platform. Now, the platform is given an angular velocity c.o0. When the tortoise moves along the diameter 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
Answer» Solution :As the tortoise approaches the centre of the disk, the MOMENT of INERTIA of disk + tortoise system decreases. As there is no external torque on this system, angular momentum remains conserved. `I_(i)W_(i) = I_(F)omega_(F)`, hence `OMEGA` increases. Once the tortoise reaches the centre `omega` becomes MAXIMUM (since moment of inertia is minimum). Then the moment of inertia again starts increasing (as tortoise MOVES away from the centre).

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