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JEE Main 2014 Physics question

PhysicsSystems of Particles and Rotational MotionJEE Main 2014

A thin bar of length L has a mass per unit length λ, that increases linearly with distance from one end. If its total mass is M and its mass per unit length at the lighter end is , then the distance of the centre of mass from the lighter end is:

Answer: (3)

Solution

Take . Then , so . The centre of mass is $ = xλ dx =

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Question ID VK-104439