The iconic model of Fig. 4.10 represents a locomotive of mass m₂ pulling a carof mass m₁. Consider that the coupling between locomotive and car is viscoelastic,with an equivalent natural frequency of 10Hz and a damping ratio of 0.7071.Moreover, the locomotive is being driven by an electric motor that delivers a forceF(t) = F₀(10 + cos ωt) pulling to the right. Find the steady-state response of thesystem.

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X1 m1 Fig. 4.10 A two-dof semidefinite system k www C C x2 m2