Quote:
Originally Posted by bdeg
that is not possible.
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Sorry but all physics questions assume ideal cases, then add outside factors. In this case, there are two outside factors - the coefficient of friction between the ground and the wheels; and the other resistances to the plane and treadmill moving.
The coefficient of friction is largely irrelevant. We've already assumed it's high enough to require the wheels to roll. And it will effect the wheels and the treadmill equally.
All we need to keep the plane motionless is that the resistance to the treadmill rolling be equal or lower than the other resistance (air resistance, basically) to the plane moving forward. If that resistance to the treadmill is low enough, any slipping due to imperfect friction will cause the treadmill to rotate FASTER than the wheels and the plane will back up.