A mass m is connected to the bottom of a vertical spring whose force constant is

Question

A mass m is connected to the bottom of a vertical spring whose force constant is k. Attached to the bottom of the mass is a string that is connected to a second mass m , as shown in the figure . Both masses are undergoing simple harmonic vertical motion of amplitude A. At the instant when the acceleration of the masses is a maximum in the upward direction the string breaks, allowing the lower mass to drop to the floor.

Question: Find the resulting amplitude of motion of the remaining mass.

Express your answer in terms of the variables m, k, A, and appropriate constants.

(answer must include m, k)

Image: http://session.masteringphysics.com/problemAsset/1125650/2/Walker4e.ch13.Pr094.jpg

Explanation / Answer

The correct answer is A+mgk

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