I can think of one possible reason to use mecanums in a 4WD tank configuration. ONE.
And it's not even a good one--there are a number of other possible tricks to use to get the same result without loosing traction.
The reason? Better turning (this is on a 4WD long bot with a long wheelbase--say about 36" or so).
The other alternatives? Omnis on either one end or opposite corners. Play with the tread materials to get some better slippage. Use Lunacy wheels (

). Stick a wheel in the middle with a slight drop (OK, so that's called a 6WD). Monkey with the wheelbase/trackwidth to get a shorter wheelbase and thus better turning (this is best done in the design stage, but if you're desperate...). Drop-down wheels. You get the picture. And guess how many of them are most likely better than the mecanum option?
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Past teams:
2003-2007: FRC0330 BeachBots
2008: FRC1135 Shmoebotics
2012: FRC4046 Schroedinger's Dragons
"Rockets are tricky..."--Elon Musk
