Derive expressions for the Laplace transform of \(x_{1}(t)\) and \(x_{2}(t)\) for the system shown in Fig. 5.5 (a) for the following data: \(m_{1}=1, m_{2}=2, k_{1}=4, k_{2}=2, k_{3}=0, c_{1}=1, c_{2}=2\), \(c_{3}=0, f_{1}(t)=0, f_{2}(t)=F_{0} u(t)=\) step function. Assume the initial conditions of both \(x_{1}(t)\) and \(x_{2}(t)\) as zero.

Figure 5.5(a):-

Transcribed Image Text:

k m -fi(t) (1)x- k 00000 (a) m2 (1)x- 2(t) k3 Cz