I still can't see how it would take off.
I keep picturing a Cessna and NOT a Space shuttle... so maybe that's one weakpoint of the scenario... perhaps it should be better clarified.
Seems to me a plan can not take off until the airspeed over the wings is sufficient to lift the plane, regardless of groundspeed. (what if takeoff was 100mph, plan is rolling at 100 mph but there's a 100 mph TAIL wind?? would it still take off?)
I don't know, but I'd guess the propwash of a Cessna would NOT generate enough airflow over the wings to lift the plane (perhaps I'm wrong)
So, if a Cessna won't do that, then I simply can't see how it would allow take off.
Put it this way, if the planes engine were STOPPED and the conveyor moved, the plane would move 'backwards' so to say. Now, if we did that at 10 mph (or maybe even take off speed) but cranked the engine up, all the engine would do would be to counteract the backward motion of the plane and NOW, allow it to be stationary (with respect to a point on the ground)
Once the plane is stationary with respect to a point on the ground, the only real airflow over the wings is from the propeller. Not enough to take off (IMHO)
Perhaps a different plane (F-14, F-16 with afterburners) would be different?
I just can't see how it can happen. Anyone got a BIG treadmill you can loan out?