Will it fly?

[CaptainHenreh]

The only way to make the plane *not* take off is to continue to accelerate the treadmill as the plane accelerates.

Which is also stupid.

Nope. Remember, the wheels are turning freely. That means that the only force the wheels exert on the plane's body that prevents it from moving forward is the resistance on the wheel bearings. The airplane's thrust is what drives it forward so even if the wheels are turning backwards at 1000 mph it won't slow the plane down.

The wheels are not frictionless. Angular momentum is imparted do them by the treadmill, some of which which will manifest itself as a linear backward force on the plane. Eventually, with enough acceleration by the treadmill the plane will *not* take off, as the linear force from the angular momentum of the wheels = the thrust force of the engines.