Circular motion of flywheel axis (precession) Flywheel Rotation of flywheel Pivot y
A gyroscope consists of a flywheel of mass m, which has a moment of inertia I for rotation about its axis. It is mounted on a rod of negligible mass, which is supported at one end by a frictionless pivot attached to a vertical post, as shown in the diagram. The distance between the center of the wheel and the pivot is d. The wheel rotates about its axis with
Adopt a coordinate system with the z axis pointing upward and the x and y axes in the horizontal plane. The gyroscope is moving, but at t=0, the rod is in the yz plane.
The gyroscope is observed to precess about the vertical axis, with an angular velocity of precession Ω, defined as positive for counterclockwise precession as seen from above. Find Ω in terms of the given quantities.
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