- #1

azaharak

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Assume the Z axis is vertical (which the wheel precesses about)

Have a spinning bicyle wheel, that is held up via string on one end, the biycle wheel begins to precess about the vertical axes via torque induced from gravity.

I'm trying to get an idea of the correct behavior of the system specifically when we analyze the angular momentum contribution in the z direction due to precession.

For a faster spinning disk, the precession speed is smaller. One can see this through derivation or by noting that the gravity induces the same torque in the same time, and a faster spinning disk signifies a longer angular momentum component perpendicular to the disk... which means that the change in angular momentum (from torque) would correspond to a smaller angular displacement.

"You can think of lifting/pivoting the ends of a meterstick and ruler through 1cm, the ruler since it is smaller in length will displace a larger angular distance."

Ok that's not my question yet...

If you attempt to make an increase to the Lz angular momentum manually by moving the spinning disk along with the precession, its angle of tilt increases, and it also "seems" that in doing so the speed of the disk decreases.

The angle of tilt increasing I can perceive through the torque introduced by myself, consquently the precession speed does increases too, however the change in the disks speed Is what puzzles me.

How do I know the disks speed changes? I tried/ performed the experiment with a bicyle wheel as described above, a piece of paper tickers past the spokes crudely informing me of the angular speed of the wheel. I notice that trying to torque the wheel so that its precession increases "seems" to reduce the wheels speed and tilt it more upright.

Thanks for you comments.

AZ