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Originally Posted by nKoan
Technically, the wheels if they moved even the slightest bit, would eventually get up to infinite speed (as does the treadmill, due to the constraint).
The problem *is* poorly posed.
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That's only true if we assume a feedback loop control system. In a purely theoretical world, the wheels could never get even a tiny bit "ahead" of the belt that would require the belt to catch up.
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