Consider the two-degree-of-freedom system shown in Fig. 6.25 with (m_{1}=m_{2}=1) and (k_{1}=k_{2}=4). The masses (m_{1}) and (m_{2})
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Consider the two-degree-of-freedom system shown in Fig. 6.25 with \(m_{1}=m_{2}=1\) and \(k_{1}=k_{2}=4\). The masses \(m_{1}\) and \(m_{2}\) move on a rough surface for which the equivalent viscous damping constants can be assumed as \(c_{1}=c_{2}=2\).
a. Derive the equations of motion of the system.
b. Find the natural frequencies and mode shapes of the undamped system.
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