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No matter how much math you put into this, the hub and the gear is still one body spinning together. You don't ever see output shaft of motors spin faster or slower than the sprocket attached to it. It would be really scary if it does. Then again, I've seen it happen before.
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Never mind I was thinking of something entirely not related to what was going on.
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If either a public officer or any one else saw a person attempting to cross a bridge which had been ascertained to be unsafe, and there were no time to warn him of his danger, they might seize him and turn him back without any real infringement of his liberty; for liberty consists in doing what one desires, and he does not desire to fall into the river. -Mill
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