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Originally Posted by EricH
Or if the rollers too tight, or are rubbing hard against the sideplates.
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I agree with the above, but will add this: a high-quality mecanum wheel's rollers will not be "too tight" or "rub hard against the sideplates". The rollers will have properly-designed bearings that can withstand the high axial thrust loads and still spin freely with no binding or rubbing. That's what makes them expensive.
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This is another of those cases where theory says one thing, and reality says to theory, "You need to come over to MY place tonight!"
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There's no reason that theory cannot include a consideration of the effects of friction. In many complex systems, a proper theoretical analysis of frictional effects is absolutely mandatory for developing a proper design.