A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially the mass

Chapter 3, Problem 30

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A mass of 1 slug is attached to a spring whose constant is 5 lb/ft. Initially the mass is released 1 foot below the equilibrium position with a downward velocity of 5 ftls, and the subsequent motion takes place in a medium that offers a damping force numerically equal to two times the instantaneous velocity. (a) Find the equation of motion if the mass is driven by an external force equal to/(t) = 12 cos 2t + 3 sin 2t. (b) Graph the transient and steady-state solutions on the same coordinate axes. (c) Graph the equation of motion

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