Question

2nd Order Differential Equation: Forced Vibration Application problem

An 8-kg mass is attached to a spring hanging from the ceiling, thereby causing the spring to stretch 1.96m upon coming to rest at equilibrium. At time t = 0, anexternal force F(t) = cos(2t) N is applied to the system. The damping coefficient for the system is 3 N-sec/m. Determine the steady-state solution for the system.

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