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Two point masses A of mass M and B of ma...

Two point masses `A` of mass `M` and `B` of mass of `4M` are fixed at the ends of a rod of length `l` and of negligible mass. The rod is set rotation about an axis perpendicular to its length with a uniform angular speed. The work required for rotating the rod will be minimum when the distance of axis of rotation from the mass `A` is at

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