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Differential Equations (FREE, UNDAMPED MOTION) A 12-lb weight is placed upon the lower end of a...

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Advance Math

Differential Equations (FREE, UNDAMPED MOTION)

A 12-lb weight is placed upon the lower end of a coil springsuspended from the ceiling. The weight comes to rest in itsequilibrium position, thereby stretching the spring 1.5 in. Theweight is then pulled down 2 in. Below its equilibrium position andreleased from rest at t = 0. Find the displacement of the weight asa function of time; determine the amplitude, period, and thefrequency of the resulting motion. Assume there is no resistance ofthe medium and no external forces.

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