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JEE Main Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main

A circular disc of radius is removed from a bigger circular disc of radius , such that the circumference of the discs coincide. The centre of mass of the new disc is at from the centre of the bigger disc. The value of is

Answer: (A)

Solution

Let the small disc (radius ) be removed so its edge coincides with the circumference of the big disc (radius ); its centre is then at distance from the big disc's centre. With surface density : big disc mass ,

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Question ID VK-158433