I never quite understood why it is so much easier to keep a bike balanced while riding at a certain speed, compared to riding it really slow, or while standing…
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bicycle is stable thanks to a combination of the front wheel touching the ground behind a backwards tilt steering axis, the center of mass of the front wheel and handlebars being located in front of the steering axis, and the gyroscopic precession of the front wheel.
In High school my science teacher brought out a bicycle wheel that had a handle through the middle. He had you turn the wheel while not in motion (moves easily) and then he would spin the wheel and have you try again (much more difficult) to demonstrate the different force while the wheel is in motion. It was interesting.
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