Meriam, Kraige & Bolton — Introduction to Three-Dimensional Dynamics of Rigid Bodies: Problem 7_93

7/93 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 $\dot{\theta} = 10 \text{ deg/sec}$ 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.