The gyro rotor shown is spinning at the constant rate of 100 rev/min relative to the x-y-z axes in the direction indicated. If the angle γ between the gimbal ring and the horizontal X-Y plane is made to increase at the constant rate of 4 rad/s and if the unit is forced to precess about the vertical at the constant rate N = 20 rev/min, calculate the magnitude of the angular acceleration a of the rotor when γ = 30°. Solve by using Eq. 7/7 applied to the angular velocity of the rotor.

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Z y X Y ON