- #1

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How would you calculate how much 'resistance' would be felt if you pushed upwards on the long end of the axle with a given force 'F'?

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- Thread starter ryan31394
- Start date

- #1

- 4

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How would you calculate how much 'resistance' would be felt if you pushed upwards on the long end of the axle with a given force 'F'?

- #2

- 180

- 8

After sitting here for a while thinking about it, I think I've reached a conclusion about one thing...

1. Angular momentum is conserved

Why? Well, since all the particles in the wheel are rigidly connected, any force on any particle consequently affects the entire system. Pushing up on one particle in the wheel effectively pushes up on every particle in the wheel (due to intermolecular forces). Thus, the bar pushing up on the wheel does not cause any net external torque so angular momentum is conserved.

That being said.. I'm inclined to say that the force required to lift the wheel in this context is invariant of ω. E.g. ω could equal zero and it would still be the same problem. Not too sure though, because intuition tells me otherwise :P

- #3

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For instance, bicycle wheels use this concept to remain upright while in motion. While it is virtually impossible to remain upright while the wheels are not spinning, as you increase your speed it becomes far easier, to the point where you would need to fall off of the bike entirely, shifting the center of gravity far off center (therefore increasing the torque forces imposed upon the wheels), in order for the bike to tip over, but how far would you need to lean off center for the bike to tip over (with given values such as those stated above)?

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