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When discussing bike balance it's necessary to carefully distinguish stability and controllability. A bike remains upright when its steered so that the ground reaction forces balance out the internal and external forces.
The self-stability is generated by a combination of several effects that depend on the geometry, mass distribution, and forward speed of the bike. Tires, suspension, steering damping, and frame flex can also influence it, especially in motorcycles. Even without riding the bike the rider is still able to balance the bike by the same principle.
Bicycle and motorcycle dynamics is the science of the motion of bicycles and motorcycles and their components, due to force acting on them.
What it consists of...
In this presentation you will learn why a bike doesn't tip over when you ride it.
To make the bicycle go uphill the rider must push down on the pedals. The pedals are offset 180° which means that only one pedal can be pushed at a time, from the top position to the bottom position, and then switching to the other pedal.
Given a force F1 acting on the pedal we can calculate the resulting force F4 between the rear wheel and ground. This is the force that propels the bicycle forward.
We can perform a torque analysis with good accuracy based on the assumption that acceleration (linear and angular) is negligible. Hence, we can treat this as a static problem.
Force normal
Force friction
Force applied by person to bike
Force weight of bike
Force weight of person
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