Find the forced-vibration response of the system shown in Fig. 5.15 when \(F_{1}(t)\) is a step force of magnitude \(5 \mathrm{~N}\) using the Laplace transform method. Assume \(x_{1}(0)=\dot{x}_{1}(0)=\) \(x_{2}(0)=\dot{x}_{2}(0)=0, m=1 \mathrm{~kg}\), and \(k=100 \mathrm{~N} / \mathrm{m}\).

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x(1) X(1) 0000 m F(t) = F10 cos wot m elle FIGURE 5.15 A two-mass system subjected to harmonic force.