A machine, modeled as a single-degree-of-freedom system, has the following parameters: \(m=900 \mathrm{~kg}, k=7 \mathrm{MN} / \mathrm{m}\), and \(c=135 \mathrm{~N}-\mathrm{s} / \mathrm{m}\). It is subjected to the force shown in Fig. 14.29. Find the mean square value of the response of the machine (mass).

Figure 14.29:-

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500 -500 F(1), N 410=1 "1 t.s 12 14 15 FIGURE 14.29 Discretized periodic function of Problem 14.19.