Find the free-vibration response of the spring-mass system shown in Fig. 6.6 (a) for \(k_{1}=k, k_{2}=2 k, k_{3}=3 k, m_{1}=m, m_{2}=2 m\), and \(m_{3}=3 m\) corresponding to the initial conditions \(\dot{x}_{1}(0)=\dot{x}_{10}, x_{i}(0)=0(i=1,2,3)\), and \(\dot{x}_{2}(0)=\dot{x}_{3}(0)=0\).

Figure 6.6(a):-

Transcribed Image Text:

k 000 m Ix- -x2 X3 k2 k3 000 m2 m3