Find the natural frequencies of the system shown in Fig. 5.24, with (m_{1}=m, m_{2}=2 m), (k_{1}=k), and

Question:

Find the natural frequencies of the system shown in Fig. 5.24, with $m_{1}=m, m_{2}=2 m$, $k_{1}=k$, and $k_{2}=2 k$. Determine the response of the system when $k=1000 \mathrm{~N} / \mathrm{m}, m=20 \mathrm{~kg}$, and the initial values of the displacements of the masses $m_{1}$ and $m_{2}$ are 1 and -1 , respectively.

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