Consider a single-degree-of-freedom mechanical system as in Figure 8.6, where the applied force is (10 delta(t)) and

Question:

Consider a single-degree-of-freedom mechanical system as in Figure 8.6, where the applied force is $10 \delta(t)$ and $m=9 \mathrm{~kg}, c=6 \mathrm{~N}-\mathrm{sec} / \mathrm{m}, k=5 \mathrm{~N} / \mathrm{m}$. Assume $x(0)=0.5, \dot{x}(0)=0$.
a. Find the response $x$ in closed form.
b. Plot the response $x$ by using the initial and impulse commands. Also plot the closed-form response of (a) to confirm the result.

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