For the translational second-order system shown in Fig. 4.2 (a) with (m=6 mathrm{~kg}, c=30 mathrm{~N}-mathrm{s} / mathrm{m}),
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For the translational second-order system shown in Fig. 4.2
(a) with \(m=6 \mathrm{~kg}, c=30 \mathrm{~N}-\mathrm{s} / \mathrm{m}\), and \(k=45 \mathrm{~N} / \mathrm{m}\), find the values of \(\zeta, \omega_{n}, t_{s}, t_{r}, t_{p}\), and percent overshoot for \(x(t)\).
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