1. 2. 4. Derive the equations of motion for the Boeing 747 using an orthogonal set of coordinates that are aligned with the horizontal and vertical axes. 3. Assuming all forces act through the center of mass of the airplane (at the location shown in the figure), derive the summation of moments equation about the nose of the airplane. 5. 6. Derive the equations of motion for the Boeing 747 using an orthogonal set of coordinates that are aligned with the chord of the wing. For a 747 cruising at M-0.8 and at 30,000 ft of altitude, how much power are the engines producing to maintain steady, level flight? a) How many AA batteries would you need to replace the 4 engines? b) How much do all of those batteries weigh as compared with the 4 engines? Repeat questions (1)-(3) without assuming accelerations = 0. Solve for the accelerations of the 747. Make any needed additional assumptions that are required to solve this problem. F-GCO AIR FRANCE Horizontal D Parallel to flight path: F parallel Perpendicular to flight path: L Chord line XT = T cosa-D-W sin 0= m T dV dt Flight path V F perpendicular = L+T sin , -W cos 0 = m ar r C 0