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A mass m is connected to the bottom of a verticalspring whose force constant is k. Attached to the bottomof the mass is a string that is connected to a second mass m, as shown in the figure. Both masses are undergoingsimple harmonic vertical motion of amplitude A. At theinstant when the acceleration of the masses is a maximum in theupward direction the string breaks, allowing the lower mass to dropto the floor. Find the resulting amplitude of motion of there maining mass. Express your answer in terms of the variablesA, m, k and appropriate constants.

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