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The gyroscopic turn indicator consists of a 1kg flywheel whose principal radii of gyration are κx 50 mm κy κz 35 mm where the x axis is the flywheels axis of symmetry The center of mass of

The gyroscopic turn indicator consists of a 1-kg flywheel whose principal radii of gyration are κx = 50 mm, κy = κz = 35 mm, where the x axis is the flywheel’s axis of symmetry. The center of mass of the flywheel coincides with the intersection of axes AB and CD. The flywheel spins relative to the gimbal at the constant rate Ω1 = 50 000 rev/min, while the whole system rotates about the vertical axis at Ω2 = 1.2 rad/s. The pivot angle β is constant. Determine the force–couple system acting on the flywheel at its center that is equivalent to the actual forces acting on it, assuming that only the mass of the flywheel is significant. What portion of this couple represents the torque M that must be applied to shaft CD?

 

Jun 16 2020 View more View Less

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