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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A circular platform is mounted on a vertical frictionless axle. Its radius is m and its moment of inertia is kg·m². It is initially at rest. A 70 kg man stands on the edge of the platform and begins to walk along the edge at speed ms⁻¹ relative to the ground. When the man has walked once around the platform, so that he is at his original position on it, his angular displacement relative to the ground is

Answer: (B)

Solution

With zero initial total angular momentum, as the man walks (at ground speed ), the platform must counter-rotate: , with , and relates his ground angular speed to platform speed... Using the standard

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Question ID VK-158752