ORIGINAL: ryan_t888
No guys, you are thinking tooooo hard.
The plane will completely take off as normal. An observer would not know the difference of a plane on a conveyor vs a plane not on a conveyor. It will take the same amount of runway space either way assuming no friction in wheel bearings, wheels. They can spin as fast as they want.
Think of it as you standing on a long tread mill with roller blades on. You are also holding on to a rope that will simulate prop thrust. The treadmill begins to turn and you tug the rope tight. The rollerblades wheels are "free running" just like the planes wheels.
Now we accelerate the treadmill as fast as you want. Are you going to be able to pull yourself forward using the rope? (rope simulates prop thrust) Think about this realisticly.
Like I said before, this is a tough concept for most to grasp. The question makes you think the plane will stay in one spot but this is totally untrue. The plane WILL move.
Now if this was a car, it would not be able to work as the cars power is transmitted to the ground, and the ground would be moving to match the wheel speed.
ORIGINAL: Flabum
If the plane were propeller driven, only a small amount of the wings would be affected by the prop wash and would not provide enough lift for take off. If the plane were powered by jet engines, there would be no air flowing past the wings since all the air would be going through the engine.
Why is that? Is the plane strapped to the ground or what is holding it back? Remember prop thrust or jet thrust is in relation to the Atmosphere not the conveyor. Your take off logic is correct but the fact that the conveyor does not represent wind speed makes all the difference.
A plane does not use its wheels to keep up with speed, it uses air thrust. The conveyor does not represent air thrust. It only affects the wheels, which will turn freely in their bearings.
THIS QUESTION TOTALLY ROCKS!
Ryan