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On a frictionless surface, a ring of mass m, connected by a rope to another mass...

On a frictionless surface, a ring of mass m, connected by a rope to another mass M, moves on a circular path of radius r. The rope connecting the two masses can slide freely through the hole in the center of the surface. The situation is illustrated in the figure opposite.
Derive the equation of the modulus of the orbital velocity so that the mass M remains motionless?

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