Why is balancing on a stationary bike so much more difficult than on a moving one?
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have you ever tried balancing say a chopstick upright on your hand? when the chopsitck starts to fall over you move your hand to compensate and get the bottom under the new center of gravity. on a moving bike you can do something similar. when you start to lean into one direction, say left for example, then you can just stear to the left a bit to get the wheels of the bike under the new center of gravity so you dont fall over. usually only very small adjustments are needed, so you dont really notice it though except when people just start to learn to ride bikes.
on a stationary bike you dont have that option and have to balance using some other machanism which is usually harder.
additionally, when the bike is moving your tires are a rotating mass and the gyroscopic effect helps to stabelize the bike. however, i belief this effect to be not as important than the other one i mentioned.
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