Using the MATLAB function ode23, solve Problem 6.99 and plot \(x_{1}(t), x_{2}(t)\), and \(x_{3}(t)\).

Data From Problem 6.99:-

Find the steady-state response of the system shown in Fig. 6.17 with \(k_{1}=k_{2}=k_{3}=k_{4}\) \(=100 \mathrm{~N} / \mathrm{m}, c_{1}=c_{2}=c_{3}=c_{4}=1 \mathrm{~N}-\mathrm{s} / \mathrm{m}, m_{1}=m_{2}=m_{3}=1 \mathrm{~kg}, F_{1}(t)=F_{0} \cos \omega t\), \(F_{0}=10 \mathrm{~N}\), and \(\omega=1 \mathrm{rad} / \mathrm{s}\). Assume that the spring \(k_{4}\) and the damper \(c_{4}\) are connected to a rigid wall at the right end. Use the mechanical impedance method described in Section 5.6 for solution.

Figure 6.17:-

000 m X3 x2 x m FIGURE 6.17 Multidegree-of-freedom system. C3 m3