Using the Newmark method with \(\alpha=\frac{1}{6}\) and \(\beta=\frac{1}{2}\), solve Problem 11.18.

Data From Problem 11.18:-

Using the central difference method, find the response of the two-degree-of-freedom system shown in Fig. 11.2 when \(c=2, F_{1}(t)=0, F_{2}(t)=10\).

Figure 11.2:-

X1(t) -x2(t) F(1) k=2 -F2(t) k = 4 k2=6 00000 m1 1 |m = 21 00000 c = 0 FIGURE 11.2 Two-degree-of-freedom system.