$5\mathrm{.}28.$ An airfoil section to be tested in a wind tunnel is supported by a linear spring $\backslash ($ k $\backslash )$ and a torsional spring $\backslash ($ K $\backslash ),$ as shown in Fig. P$5\mathrm{.}28.$ If the center of gravity of the section is a distance $\backslash ($ e $\backslash )$ ahead of the point of support, determine the differential equations of motion of the system.

please find diff eqs of motion :)