Enfyrneaux said:ROFL
If the thrust force of the plane's engines is greater than the opposing dynamic friction of the wheels on the conveyor tarmac, then the plane will roll forward relative to the conveyor's superstructure regardless of the conveyor's speed.
Quite. I would argue that any opposing dynamic friction of the wheels on the conveyor tarmac is insignificant compared to the thrust of the engines, and thus even in a closed system there is till no force to counteract the force of thrust acting on the plane. The plane will move forward.
Of course, this means that the tires will move forward as well (as they are fixed to the plane). But, in order for the tires to move forward, they must have some relative difference in 'velocity' (sure, its rotational) compared to the linear velocity of the treadmill. But this magical treadmill will instantly match any velocity the tires have...
So what would really happen?
I argue that as soon as you flip the switch on the engines, both the treadmill and the tires will accelerate to infinity almost instantly, until they both explode in a gigantic violent fireball that is visible from space. The plane is destroyed in the carnage and is unable to take off.