An air-breathing jet aircraft of total mass \(m\) flying with a constant speed \(v\) consumes air at the mass rate \(m_{a}^{\prime}\) and exhausts burned gas at the mass rate \(m_{g}^{\prime}\) with a velocity \(u\) relative to the aircraft. Fuel is consumed at the constant rate \(m_{f}^{\prime}\). The total aerodynamic forces acting on the aircraft are the lift \(L\), normal to the direction of flight, and the drag \(D\), opposite to the direction of flight. Any force due to the static pressure across the inlet and exhaust surfaces is assumed to be included in \(D\). Write the equation for the motion of the aircraft and identify the thrust \(T\).

Transcribed Image Text:

mg L 100 D x