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If the wheel is balanced, then gravity produces no net torque on the wheel. The weight of every tiny
bit of the wheel on one side of the pivot ... trying to make the wheel turn one way ... is exactly matched
by the weight of a tiny bit of the wheel on the other side of the pivot, trying to make the wheel turn
the other way.

A balanced wheel freely suspended in the field of earth's gravitation doesn't spontaneously begin to spin.

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Q: What motion does the torque produced by earth's gravity impart to a vertically spinning bicycle wheel?
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