Hi, can you help me respond to each part of the problem by using physics concepts or formulas? Please also provide a response to each prompt as well as all of the necessary math/formula/conceptual steps so that I can check my own work. This question may involve Force Body Diagrams, Force Balance Equations, Acceleration, Kinetic/Static Friction, Kinetic Energy, Rotational Kinetic Energy, Torque, Conservation of Mechanical Energy, Moment of Inertia, or other Physics concepts.

(Please no reposts!) There is no missing information, all necessary information may be obtained via research on the internet.

Practice Problem: Balancing an airplane This gure is from the Federal Aviation Administration's Pilot's Handbook of Aeronautical Knowledge. It's critically important that an airplane is properly balanced before the pilot takes off. If the fuel tanks in the wings are imbalanced, a torque will roll the airplane. Likewise, too much cargo in the back of the plane will pitch the aircraft up. [ Longitudinal unbalance will cause ] either nose or tail heaviness. (a) Part of the preight planning includes calculating the weight and balance of the aircraft. The maximum total weight of this plane is 3,4001b, and the center of mass must be within an acceptable range under the wings: 7886 in from the front of the aircraft. Otherwise, the net torque on the plane will be too large. Use the following table to determine if this aircraft is safe to y. All distances are measured from the front. of the aircraft. Item W'cight [lb] Arln (in) Torque (in-lb) Aircraft Empty Weight 2100 78.3 Front Seat Occupants 340 85.0 Rear Seat Occupants 350 121.0 Fuel 450 75.0 Baggage Area 80 150.0 (b) As fuel is burned throughout the ight, the balance is continuously changing. After 3001b of fuel has been burned, and the pilot needs to apply a compensating torque with the elevators (the small wing at the rear of the aircraft) to keep the plane level. This is called setting the elevator trim. If the force is applied 27 ft from the front of the aircraft, what force is needed to create the same balance as when the fuel tank was full