I'm sorry but this question and the link provided about 5-6 posts above this post seems almost as dumb as the site with people whot hink the eart is flat.
I appologize right now if anyone is offended by the comment I just made, but this is NOT a debatable question. It is only a fact based question. If anyone was to take physics at any grade level then it would become more obviouse.
This is just like the time the mythbusters tried to prove that kit couldnt drive onto a truck liek in knightrider - dont get me started with the lack of actual science on that show.
The place will never take off, ever.
Assume for a moment that instead of wheels the plane just had a tripod or a kickstand - something that will not roll or move and that it is just a tiny model. When the treadmill is turned on, the plan will stick to the track, the track will move backwards and thus the plane, because of friction, will also move backwards untill it falls off.
Next, let us assume it has wheels and your hand is hoolding the plane an inch above the track when the treadmill is turned on. Turn the treadmill on, it begins to move backwards and the plane (which is in your hand and not yet touching the track) remains stationary in your hand. If you drop it, it will fall because of gravity - weather the treadmill is there or not.
Next, you lower your arm and place the plane on the track at which point the wheels begin to turn and the plane and your hand are not moving.
Now, replace your hand with mini rockets, question: would the rockets need to be turned on? Answer: yes - because if they were off, the friction constant of the wheels will slowly cause the wheels to stop turning and the plane will move backwards. Just how a car in real life stops without using the brakes or gas - your bike does the same thing.
Now, the rockets only need to provide as much thrust as your hand was, almost none but just enough to be equal to the force of friction in the wheels. P.S. (the purpose of a wheel is to have low friction).
The tiny ammount of force the rockets are providing is exactly enough to keep the plane stationary. A stationary plane cannot fly. There is no air moving above or below the wings and thus providing zero lift. If the plane wouldnt fly when you were holding it stationary then why would it fly if someone else was holding it stationary? Why would it fly if a rope was holding it stationary? Why would it fly if a rocket held it stationary? It wouldnt. There is no circumstance when the plane would fly.
Next, while the rockets are on and the treadmill is moving - the plane is stationary, and suddenly the treadmill is turned off (assume it stops in a fraction of a second or faster) what would happen? The track would now be standing still but the rockets would be on. The rockets were and are providing enough force to equal the force of friction, and thus the plane will now begin to move forward. BUT NOT AT THE SPEED OF THE TREADMILL BEFORE IT WAS TURNED OFF but rather at a speed less than that speed.
Remember that the force forward was only equal to the force of fricktion in the backward direction NOT a force big enough to make the entire plane move as fast as the treadmill - only the wheels' friction.
A real life plane on a giant treadmill works the same way as a small plane on a normal treadmill.
And I cant believe I just wasted 20 minutes of my life explaining this as if it was debateable.