Find and plot the free-vibration response of the system shown in Fig. 5.24 for the following data: \(k_{1}=1000 \mathrm{~N} / \mathrm{m}, k_{2}=500 \mathrm{~N} / \mathrm{m}, m_{1}=2 \mathrm{~kg}, m_{2}=1 \mathrm{~kg}, x_{1}(0)=1, x_{2}(0)=2\), \(\dot{x}_{1}(0)=1, \dot{x}_{2}(0)=-2\).

Figure 5.24:-

Transcribed Image Text:

Base k 00000 m1 k x(1) m2 X2(1) FIGURE 5.24 Undamped system.