A 12-lb weight (mass m D 0:375 slugs in fps units) is

Chapter , Problem 22

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A 12-lb weight (mass m D 0:375 slugs in fps units) is attached both to a vertically suspended spring that it stretches 6 in. and to a dashpot that provides 3 lb of resistance for every foot per second of velocity. (a) If the weight is pulled down 1 ft below its static equilibrium position and then released from rest at time t D 0, find its position function x.t /. (b) Find the frequency, time-varying amplitude, and phase angle of the motion.

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