(2) Airplane Wing Analysis (15 pts) To design an airplane wing, engineers need to know the internal loads generated by the aero-dynamic lift and the mass and torque of the engine. The dimensions and loads on an airplane wing are shown in the figure below along with a Free Body Diagram of the wing alone. Assume that the wing is massless and fixed at its connection to the body, that the airplane is in equilibrium in steady, level flight, and that d, = 8m and d, = 2m. Lift increases linearly from 0 at A to L at B A d1 W FBD Lift increases linearly from 0 at A to L at B MbB 12 x A T B FBY W FBX dz d1 Find: a) the shear force and bending moment equations of the loaded wing in terms of the Lift load L on the wing, the Weight W, the Torque T, and x. Hint: Develop the shear force and bending moment equations for each loading separately before combining all loads together. b). Provide three checks of your analysis results from (a) using your equations from (a) and the overall FBD: 1" check: reaction forces at the fixed connection are the same from your equations in (a) as found from an FBD of the whole wing. 2"d check: for the range 0