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Statement of a problem № 3229

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Two particles of masses m1 and m2 are connected by a rigid massless rod of length r to constitute a dumbbell which is free to move in a plane. Show that the moment of inertia of the dumbbell about an axis perpendicular to the plane passing through the centre of mass is nr 2 where n is the reduced mass.

Solution:
Two particles of masses m1 and m2 are connected by a rigid massless rod of lengt

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