JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

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 platform with a constant velocity (relative to the platform), the angular velocity of the platform will vary with time as

Answer: (A)

Solution

As the tortoise moves along a chord, its perpendicular distance from the centre first decreases (moving toward the nearest point of the chord to the centre) then increases again (moving back out to the edge) — so the system's total moment of inertia first decreases then

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Question ID VK-158821