The blades and hub of the helicopter rotor weigh140 lb and have a radius of gyration of

Chapter 7, Problem 7/105

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The blades and hub of the helicopter rotor weigh 140 lb and have a radius of gyration of 10 ft about the z-axis of rotation. With the rotor turning at 500 rev/ min during a short interval following vertical liftoff, the helicopter tilts forward at the rate \(\dot{\theta}=10 \mathrm{deg} / \mathrm{sec}\) in order to acquire forward velocity. Determine the gyroscopic moment M transmitted to the body of the helicopter by its rotor and indicate whether the helicopter tends to deflect clockwise or counterclockwise, as viewed by a passenger facing forward.

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