The propeller on a single-engine airplane has a mass M and a centroidal radius of gyration k_G computed about the axis of spin. When viewed from the front of the airplane, the propeller is turning clockwise at ω_s about the spin axis. If the airplane enters a vertical curve having a radius ρ and is traveling at speed v, determine the gyroscopic bending moment which the propeller exerts on the bearings of the engine when the airplane is in its lowest position.

Given: M = 15 kg KG = 0.3 m V = 200 km hr @s = 350 p = 80 m rad S