a 64pound weight is hung on the lower end of a coiled spring suspended from the

Question

a 64pound weight is hung on the lower end of a coiled spring suspended from the ceiling, the spring constant being 12 pounds per foot. The motion is being driven by an external force equal to 20cos(t). Initially, the weight starts from 1foot above equilibrium with an upward velocity of 1foot per second. The subsequent motion occurs in a medium that offers a damping force equal to 10times the instantaneous velocity in feet per second.

a). Find the equation of motion of the weight as a function of time.

b). Identify the steady-state and transient parts of the solution.

Explanation / Answer

F=ma=mg+10v+Kx solve using laplace transform

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