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Originally Posted by MrL_JaKiri
Under a frictionless environment, then nothing changes. Because friction is zero (either between the wheel and its axel, or between the wheel and the road) there is no way in which the track can interact with the plane. You get a reaction force and nothing else.
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The entire theory is completely hypothetical and wouldn't ever work in reality. The treadmill would need to be able to attain an infinite speed, as would the engines. We'd be more likely to see the wheels on the plane pop before anything.
But in answer to the question "would it take off" (ignoring friction issues and speed issues), the answer is simply "no", because there is no air flow over the wings.
PS I deleted that post you quoted because it kind of ruins the thread