A single-cylinder air compressor of mass \(100 \mathrm{~kg}\) is mounted on rubber mounts, as shown in Fig. 3.62. The stiffness and damping constants of the rubber mounts are given by \(10^{6} \mathrm{~N} / \mathrm{m}\) and

\(2000 \mathrm{~N}-\mathrm{s} / \mathrm{m}\), respectively. If the unbalance of the compressor is equivalent to a mass \(0.1 \mathrm{~kg}\) located at the end of the crank (point \(A\) ), determine the response of the compressor at a crank speed of \(3000 \mathrm{rpm}\). Assume \(r=10 \mathrm{~cm}\) and \(l=40 \mathrm{~cm}\).

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K 0000000000 m 00000 x(1) z(t) y(t), Input FIGURE 3.61 Driver's seat subjected to base motion.