prhom --

Does the fact that the planes wheels are spinning fast somehow counteract the thrust generated by the jet engine?

That force will cause the plane to accelerate relative to the ground unless there is some counteracting force. Short of the wheel bearing seizing that force does not exist. Unless you want to suspend Newton's 2nd law.

No, because as the extra force pushing the plane forward is translated into faster wheel rotation the treadmill matches it.

The wheels/treadmill will not accelerate indefinitely. In the real world, both have some friction which will produce great drag at higher rotational velocity. The wheels will reach a maximum speed - matched by the treadmill - and the system will run in equilibrium as long as the jet fuel lasts.

How is a rocket car different from a match box car with a hand pushing it? Do you have a video of a rocket car spinning on a tread mill?

The force balance on my jet makes it go 5 mph at a particular instant. What are you going to set your treadmill at?

Wheels do not matter when the jet is moved by the thrust of the jets.. the wheels and the treadmill are nearly irrelevant. This seems very simple to me.. Is something wrong with me? :D It's almost like saying a jet couldn't take off if it had skis instead of wheels and the substrate was ice.

BTW, Oranges treadmill doesn't have a motor. It free wheels.

The hand pushing the car has to move forward. The rocket engine expels mass out the back. It can produce energy to move the car while standing in place.

See #437, because the treadmill can accelerate its not a static problem. It's a dynamics problem now, the extra force gets counteracted by some magical force propelling the treadmill to MATCH the speed of the wheel. It's tricky because the wheel and treadmill are by definition going the same speed as long as they are in contact with one another. So you can substitute matched speed with matched force. As soon as the plane starts to "speed up" relative to the treadmill the treadmill will respond with added speed from some magical engine that provides that forces. It's that external magical force that makes this a stupid question.

Less parts to burn up. It gets all the energy it needs to perfectly match the wheels - from the wheels (ultimately from the jet engines).

Unfortunately, yes, because the treadmill can accelerate. If the treadmill is not powered or runs at a fixed speed then the plane might have a chance depending on how fast the treadmill can go and how much power the plane has.

If you think it's a very simple question - yes there's something wrong with you. Try googling it. Baby Lee mentioned one site that has 300 PAGES of comments.

And there are many more sites.

And the ice in your example is incorrect. It's not moving relative to the rest of the world. The ground under the plane in the problem is. Mud is a better example.

That's where you are incorrect orange. The treadmill must have an external force propelling the treads to counteract the plane engine thrust.

No. There is something wrong with me for keep trying to come up with different explanations in an attempt to teach.

The plane engine thrust affects the wheels and the treadmill equally. It doesn't have to be counteracted.