Determine the direct frequency response function, \(\frac{X_{2}}{F_{2}}\), for the two degree of freedom system shown in Fig. P9.1 using receptance coupling. Express your final result as a function of \(m, c, k\), and the excitation frequency, \(\omega\). You may assume a harmonic forcing function, \(F_{2} e^{i \omega t}\), is applied to coordinate \(X_{2}\).

Fig. P9.1 Two degree of freedom assembly.

M k m C + IX + X2 m W