. Consider the B variant of the F-35 aircraft, which is capable of short take-off and vertical- landing (SVTOL). This aircraft is equipped with a rotating device, called LiftFan, which is responsible for producing roughly half of the necessary thrust to hover. The lift fan spins about the K axis at a constant angular rate of . The component has a moment of inertia about the mass center of the aircraft along the K axis of Izp. (12 points) a. Derive an expression for the gyroscopic moment that this additional rotating component exerts on the aircraft. b. If the aircraft develops a roll rate to the left, what type of moment is produced by the gyroscopic moment (pos/neg. pitch, roll, or yaw)? If the aircraft pitches upward, what type of moment is produced? If the aircraft yaws to the left, what type of moment is produced?