[Slow Play Ray]

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The plane will take off on a frictionless runway. It will not take off on the conveyor system.

Wheels reduce friction; your conveyor system, in essence, removes the wheels.

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So then why won't it take off on my conveyor system???

And for simplicity's sake, please neglect the bearing friction and wheel slip for this problem. In other words, just assume that the wheels can keep up with the conveyor at any speed, and vice versa.