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A mass m is connected to the bottom of a vertical springwhose force constant is k. Attached to the bottom of themass is a string that is connected to a second mass m, asshown in the figure . Both masses are undergoing simple harmonicvertical motion of amplitude A. At the instant when theacceleration of the masses is a maximum in the upward direction thestring breaks, allowing the lower mass to drop to the floor.
Find the resulting amplitude of motion of the remaining mass. Express your answer in terms of the variables A, m, k.

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