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#7
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That all depends
You would need measurements, loads, accelerations or initial and final velocities before anybody could solve this. I THINK if the radius of gyration of the base exceeds the radius of gyration of the wheels then you should be able to stand on it without it going in a circle, if that's what you're asking. I'm not sure though, if I think anymore during finals time I'll go nuts. Look in a dynamics book.
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