What Is the Direction of Precession for a Rotating Bicycle Wheel?

AI Thread Summary
The discussion focuses on determining the direction of precession for a rotating bicycle wheel. The wheel, rotating clockwise at 2484 rev/min, has its shaft supported on one side, with a pivot point 0.6 m from the center. The key insight is that the direction of precession is opposite to the direction of rotation, which contradicts initial assumptions. The application of the torque equation, Torque = dL/dt, is crucial for understanding this phenomenon. Properly applying this principle leads to the correct conclusion about the precession direction.
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Homework Statement



Hi. I have: A 3 kg bicycle wheel rotating at a 2484 rev/min angular velocity has its shaft supported on one side. When viewing from the left (from the positive x-axes), one sees that the wheel is rotating in a clockwise manner. The distance from the center of the wheel to the pivot point is 0.6 m. The wheel is a hoop of radius 0.4 m and its shaft is horizontal.

I've attached a picture of the situation.

Assume all the mass of the system is located at the rim of the bicycle wheel. The acceleration of gravity is 9.8 m/s^2.

The direction of precession as viewed from the
top is
1. opposite to the direction of rotation of the
wheel.
2. along the direction of rotation of the
wheel.
3. clockwise.
4. counter-clockwise.
5. static, since angular momentum is conserved.


Homework Equations


Right hand rule


The Attempt at a Solution


I thought it would go along the direction of rotation of the
wheel, but evidently not.
 

Attachments

  • precessing wheel.jpg
    precessing wheel.jpg
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