Given the eigenvalues and eigenvectors for the two degree of freedom system shown in Fig. P5.9, determine the DC (zero frequency) compliance for the real part of the direct FRF \(X_{2} / F_{2}\).
\[\begin{array}{ll}
s_{1}^{2}=-1 \times 10^{6} \mathrm{rad} / \mathrm{s}^{2} & s_{2}^{2}=-7 \times 10^{6} \mathrm{rad} / \mathrm{s}^{2} \\
\Psi_{1}=\left\{\begin{array}{c}
0.5 \\
1
\end{array}\right\} & \Psi_{2}=\left\{\begin{array}{c}
-2.5 \\
1
\end{array}\right\}
\end{array}\]

Fig. P5.9 Two degree of freedom spring–mass– damper system under forced vibration.

k = 7106 N/m c1140 N-s/m X1 m = 2 kg k = 5106 C2 = 100 x2 m2 = 2.5 F2e" icot