The mass \(m_{1}\) of the two-degree-of-freedom system shown in Fig. 5.24 is subjected to a force \(F_{0} \cos \omega t\). Assuming that the surrounding air damping is equivalent to \(c=200 \mathrm{~N}-\mathrm{s} / \mathrm{m}\), find the steady-state response of the two masses. Assume \(m_{1}=m_{2}=1 \mathrm{~kg}, k_{1}=k_{2}=500 \mathrm{~N} / \mathrm{m}\), and \(\omega=1 \mathrm{rad} / \mathrm{s}\).

Figure 5.24:-

Transcribed Image Text:

Base k 00000 m1 x(1) m2 x2(1) FIGURE 5.24 Undamped system.