3) The force, Fr= 1 kN, and moment, Mr = 0.5 kN-m, at the tip are caused by a wing tip vortex and a winglet, not shown. L = 12 m and the spar has an elastic modulus of E= 70 GPa and a Poisson's ratio of v= 0.33. The mass of the wing is 4000 kg, and the weight of the engine is 107 kN. Use 9.8 m/s for the acceleration due to gravity.(15 points) I L/4 We L 13 kN/m L/4 Ww FT 30* MT Consider the cross-section shown (you can look these up). Pay attention to the coordinate system given in the drawing. a) what is the moment of inertia about y-axis in terms of the symbolic dimensions shown? b) what is the moment of inertia about z-axis in terms of the symbolic dimensions shown? c) what is the polar moment of inertia in terms of the symbolic dimensions shown (i.e. about the x-axis)? d) where is the centroid? e) what is the area? f) Calculate the shear modulus g) Compute each of these moments of inertia with the values b = 0.4 m, d =0.5 m, t = 0.1 m.