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Consider a spring-mass-damper system with k = 4000 N/m, m = 10 kg, and c = 40 N-s/m. Find the steady-state and total responses

 

Consider a spring-mass-damper system with k = 4000 N/m, m = 10 kg, and c = 40 N-s/m. Find the steady-state and total responses of the system under the harmonic force F(t) = 200 cos(20t) N and the initial conditions x0 = 0.1 m, x0 = 0.

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