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Acceleration that m must move in a circle of radius to stay at rest

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A mass m = 3 kg on a frictionless table is attached to a hanging mass M = 5 kg by a cord through a hole in a table (see figure below). Find the speed with which m must move in a circle of radius r = 0.5 m in order for M to stay at rest.

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In order for them both to be at rest, the cord must be at rest (along the length of the rope). So this means there must be no force acting on the cord, which in ...

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With full calculations and explanations, the problem is solved.