A thin airfoil is plunging with \(h=\bar{h} e^{i w t}\), and pitching with \(\alpha=\bar{\alpha} e^{i(\omega t+\phi)}\) about a point \(a\). Obtain the general expression for the leading edge suction force for this airfoil in two degrees of freedom problem. Here, take \(P=\sqrt{2} C(k)(\dot{h}+U \alpha+b(1 / 2+a) \dot{\alpha})\).