The propeller on a single-engine airplane has a mass M and a centroidal radius of gyration k

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The propeller on a single-engine airplane has a mass M and a centroidal radius of gyration kG computed about the axis of spin. When viewed from the front of the airplane, the propeller is turning clockwise at ωs 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.

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