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Originally Posted by Marc S.
When was the last time you saw a mecanum robot going 18ft/s(?)...
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I suppose it would get pretty heavy and costly to have four shifting gearboxes, but it would be possible I guess.
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...and then stop in less than 5ft?
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Doing a little back-of-the envelope math...
assuming constant deceleration
a = (V*V)/(2*x) = (18*18)/(2*5) ~ 32 f/s/s ~ 1g
... so you'd need an effective CoF of 1.
To get that with mec, you'd need about 1.4 CoF between the tread material and the carpet. So you'd have to make your own custom rollers with high-traction tread.