Question

The gyro rotor is spinning at the constant rate p = 100 rev/min relative to the...

The gyro rotor is spinning at the constant rate p = 100 rev/min relative to the xyz axes in the direction indicated. If the angle γ between the gimbal ring and horizontal XY plane is made to increase at the rate of 4 rad/sec and if the unit is forced to precess about the vertical at the constant rate N = 20 rev/min, calculate the kinetic energy of the gyro when γ = 30°. The axial and transverse moments of inertia are Izz = 5(10−3) lb‐ft‐sec2 and Ixx = Iyy = 2.5(10−3) lb‐ft‐sec2.

  

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