you do know, don't you? really...

btw, you want to kick someone in the shin?

with a little better aim you could kick their family jewels into the next county...

as for pompous, how long have you been around here?

Yes, we've established what is required to produce lift.

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People left out, not enough chairs, etc.

Don't be an ass. That is what will happen regardless of what the wheels are doing. Another good example is that the wheels will move at a slower speed with a tailwind, which illustrates that it doesn't matter what the wheels do. If the engines are creating enough thrust to creade lift, the ****er's flying.

Baby Lee articulated it much more effectively than I did.
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As far as the OP, its too hard of a question. Too many good posters here.
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Actually, the wheels in the treadmill scenario are very important. As I said, if the wheels are locked, then the treadmill basically acts as a catapult. The plane would quickly achieve sufficient ground speed (or air speed over the wings, if you prefer) required to achieve lift and flight. If the wheels are free to spin, that makes thing a bit more complicated.

SHUT YOUR COCKHOLSTER OR I'LL STAB YOU IN THE FACE WITH AN ICE PICK!!!
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The wheels don't matter. The thrust does.

You need to read Baby Lee's post.

If the wheels are locked and the treadmill moves, the wheels most certainly do matter. Because the plane will move in the direction the treadmill is moving, regardless of any other motive force.

Look at it this way:

A plane is sitting on a treadmill

The wheels are free to spin.

The plane's propeller is not moving (so it has no forward thrust).

The treadmill begins to move in the direction opposite the plane's normal direction (forward).

In that scenario (and assuming a lack of friction), what would happen to the plane?

WTF would you try to take off the plane with the brakes on? If you did, you'd likely just cause damage to the plane.

LMAO

Nothing.

That's not the question. The question was would a plane take off on a treadmill, and the answer is yes.

Correct. Now, same scenario, but the treadmill is moving in the other direction (forward).

What happens to the plane?