[29] A damped spring-mass system has mass m = 50 kg, damping coefficient y = 50 N-s/m, and spring constant k = 100 N/m. Assume that an external force of 10 cos(wt) N acts on the mass. (b) Determine the steady-state response of the system, when w = 1. (c) If we increase the frequency of the external force from w 1 a little, will the amplitude of the steady-state response increase or decrease? (d) Determine the steady-state response of the system, when w = 2. (b) cost + sint meters (c) Increases. (d) - cos(2t) + sin(2t) meters

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