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In: Advanced Math

A 6 lb weight is placed upon the lower end of a coil spring suspended from...

A 6 lb weight is placed upon the lower end of a coil spring suspended from a fixed beam. The weight comes to rest in its equilibrium position, thereby stretching the spring 4 inches. Then
beginning at t = 0 an external force given by F (t) = 27 sin(4t) − 3 cos(4t) is applied to the system. The resistance of the medium is three times the velocity (in ft/sec). Find the displacement of the weight as a function of time.

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