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Consider a spring-mass damper system with k = 4000 N/m, m = 10 kg, and c = 40 N.s/m.a) Find the steady state and total responses of the system under the harmonic force F(t) = 200cos(10t) N and the initial conditions x₀ = 0 and ẋ₀ = 10 m/s.Comment and show the location of a, b, and c on the Magnitude plot and Phase plot. Please draw the complete magnitude and Phase plots and mark the relevant points.
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