Determine the natural frequencies and mode shapes for the system of Figure P7.2 if (k=3.4 times 10^{5}

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Determine the natural frequencies and mode shapes for the system of Figure P7.2 if \(k=3.4 \times 10^{5} \mathrm{~N} / \mathrm{m}, L=1.5 \mathrm{~m}\) and \(m=4.6 \mathrm{~kg}\).

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