think about this...

[kevyk]

Yeah, except I realized right after I posted that I made a big mistake...

Namely, the speed of the wheel where it touches the ground is zero if there is no slipping. Duh...in that case you've got no treadmill-runway at all.

In any case it doesn't matter. The moving runway doesn't exert any force on the plane, so the engines will accelerate it to normal airspeed and it will take off. The wheels will just spin faster than they would otherwise.