Determine the natural frequencies of the system of Figure P6.1 if (m=10 mathrm{~kg}) and (k=1 times 10^{5}

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Determine the natural frequencies of the system of Figure P6.1 if \(m=10 \mathrm{~kg}\) and \(k=1 \times 10^{5} \mathrm{~N} / \mathrm{m}\). Determine and graphically illustrate the mode shapes. Identify any nodes.

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