Find the natural frequencies and mode shapes of the system shown in Fig. 5.24 for (m_{1}=m_{2}=1 mathrm{~kg},
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Find the natural frequencies and mode shapes of the system shown in Fig. 5.24 for \(m_{1}=m_{2}=1 \mathrm{~kg}, k_{1}=2000 \mathrm{~N} / \mathrm{m}\), and \(k_{2}=6000 \mathrm{~N} / \mathrm{m}\).
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