Find the response of the rigid bar shown in Fig. 4.55 using convolution integral when the end \(P\) of the spring \(P Q\) is subjected to the displacement, \(x(t)=x_{0} e^{-t}\). Data: \(k=5000 \mathrm{~N} / \mathrm{m}\), \(l=1 \mathrm{~m}, m=10 \mathrm{~kg}, x_{0}=1 \mathrm{~cm}\).

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k Uniform bar, mass m x(t) = xge 00000 k FIGURE 4.55 Rigid bar undergoing rotational motion.