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