Originally posted by Kreylyn
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For example, imagine a bead at the top of the wheel's rotation, with the wheel deflected upwards. If it then rotates clockwise 90 degrees and the deflection stays near the top, then the bead is no longer at a point of maximum centrifugal force; from its perspective, the tire is sloped towards the top of the wheel (if you think of the inside of the tire as the ground and the centrifugal force as "gravity", the bead is on the side of a hill, and rolling resistance aside, will want to roll downhill). If the centrifugal force it feels is constantly changing, it's like constantly altering the slope and height of the terrain, a kind of "shaking".
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