(a) Obtain the equations of motion of the system shown in
Chapter , Problem 4.95(choose chapter or problem)
(a) Obtain the equations of motion of the system shown in Figure P4.95.
(b) Suppose that the masses are \(m_{1}=1 \mathrm{~kg}, m_{2}=2 \mathrm{~kg}\), and the spring constants are \(k_{1}=k_{2}=k_{3}=1.6 \times 10^{4} \mathrm{~N} / \mathrm{m}\). Use MATLAB to obtain the plot of the free response of \(x_{1}\). Use \(x_{1}(0)=0.1 \mathrm{~m}, x_{2}(0)=\dot{x}_{1}(0)=\dot{x}_{2}(0)=0\).
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