Simplify the aircraft model, assuming it is in static equilibrium, taking pitch angle O, elevator angle u, at altitude h and speed v. (Assume small rates of change in the angles.) Approximate forces as 1 =k_10 and f_2 = k_20. In the figure m represents the mass of the aircraft, I the moment of inertia about the center of gravity, located as P, b (de / dt) as the damping aerodynamic. Find the transfer function and the state space of the system. Put as an answer only the transfer function in the format TF [num] [den), and the full expansion in your notes.

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.