Find the free-vibration response of the tightly stretched string shown in Fig. 6.33 for \(m_{1}=2 m, m_{2}=m, m_{3}=3 m\), and \(l_{i}=l(i=1,2,3,4)\). Assume the initial conditions as \(x_{1}(0)=x_{3}(0)=0, x_{2}(0)=x_{20}, \dot{x}_{i}(0)=0(i=1,2,3)\).

Figure 6.33:-

Transcribed Image Text:

P m1 x(1) m2 X2(1) 12 13 X3(1) m3 14 P FIGURE 6.33 Tight string carrying three masses.