Consider a single-degree-of-freedom mechanical system as in Figure 8.6 of this section, where \(m=3 \mathrm{~kg}, k=20 \mathrm{~N} / \mathrm{m}\). Assuming zero initial conditions, plot (in a single figure) the response \(x\) to a unit-impulse force for two cases of \(c=2 \mathrm{~N}\)-sec \(/ \mathrm{m}\) and \(c=4 \mathrm{~N}-\mathrm{sec} / \mathrm{m}\), and discuss the results.

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FIGURE 8.6 A mass-spring-damper system. k m x C m