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JEE Main 2015 Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main 2015

A uniform thin rod AB of length has linear mass density , where is measured from A. If the CM of the rod lies at a distance of from A, then and are related as:

Answer: (1)

Solution

The total mass is , and the first moment about A is . Hence .

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Question ID VK-115320