How is the bicycle able to maintain its equilibrium while in motion but not while at rest?

The bicycle, and for that matter a thin wheel or disk, can maintain its balance by being in motion, but not necessarily so when at rest. What are the mathematical forces on a bicycle in motion which make this possible?How is the bicycle able to maintain its equilibrium while in motion but not while at rest?Let's consider a disc instead of a bicycle. The disc has no person on it but still it's in "equilibrium" while in state of motion!



Instead of giving you mathematical formula, allow me to explain on the basis of one of Newton's Law: That an object in motion shall remain in motion unless an external force act upon it.



It the disk is "rolled" in a forward motion, and then it will continue on rolling until it is overcome by friction and gravity. The type of friction between the disk's edge and the table or pavement it rolls upon is one factor, another factor is the thickness and roundness of the disk and still another factor is the angle of the disk relative to the pavement it would roll upon.



Once the disk starts to roll it would not stop right away as if an invisible external force subdued it. Instead, it would roll in forward motion - the rolling force prevent it from tipping.



Hope this explains!How is the bicycle able to maintain its equilibrium while in motion but not while at rest?
it's not the bicycle that keeps it in equilibirum, but the person who is on it.How is the bicycle able to maintain its equilibrium while in motion but not while at rest?hint....Conservation of angular momentum...How is the bicycle able to maintain its equilibrium while in motion but not while at rest?
The rotating wheels tend to keep their orientation because of the conservation of angular momentum. If you ever get your hands on a bicycle wheel, you can do an easy experiment to see this. Just hold it by the axle and give it a spin. You'll see that it is very hard to tilt it on its axis. Gyroscopes work on this principle.How is the bicycle able to maintain its equilibrium while in motion but not while at rest?Any thing that can stand must have the condition that its center of mass must drop within its base. When the bike is at rest, its base is only a line (from front to back wheel), so anyhow, its center of mass will probably drops outside the line and the bike falls.

When you drive a bike, you have to make the base's line oscillate around the projection of the center of mass. By turning the front wheel to the right, you make the base's line to the right and vice versa.

Let say, at a certain point, the center of mass in on the left of the base, you turn the front wheel to the left and then the center of mass is on the right.

If the stem of the bike is lock, no one can drive a bike even the front wheel and the back wheel are in a straight line !

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