Find the free-vibration response of the spring-mass system shown in Fig. 6.29 for \(k_{i}=k(i=1,2,3,4), m_{1}=2 m, m_{2}=3 m, m_{3}=2 m\) for the initial conditions \(x_{1}(0)=x_{10}\) and \(x_{2}(0)=x_{3}(0)=\dot{x}_{1}(0)=\dot{x}_{2}(0)=\dot{x}_{3}(0)=0\).

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k 000 k K3 k4 m 000 m 000 m3 000 FIGURE 6.29 Spring-mass system.