Push a car... now push a car on a treadmill that is so well lubricated theres next to no resistance, as the wheels roll, the road will move backwards. Keeping the car where it is.

Unless you the driving force is on the treadmill as well that is crap, if your pushing the car from a solid bit of ground the fact the treadmill is moving will make no difference the car will have to move the way your pushing it.

yeah and all the time the car will be accelerating as the force is applied from the jet not the wheels on the road

get a treadmill, jump on it with roller skates on, then pull yourself forward with your arms, you will move forward

that and the turbine in the jet engine pushing it all fowards doesnt matter if the wheels are spinning at mach 2 itll go and go

that and the turbine in the jet engine pushing it all fowards doesnt matter if the wheels are spinning at mach 2 itll go and go

your saying that a jet engine will defy the laws of physics.

TO GO FORWARD do you admit in a normal situation, the plane is required to make its wheels rotate, in order to get sufficient airflow over its lift surfaces?

Or

Speed of Wheels - Speed of Conveyor = Speed of Plane

In the statement of question, Francisco stated:

"The conveyer belt is designed to exactly match the speed of the wheels
at any given time, moving in the opposite direction of rotation."
He did not state the speed of the aircraft, but the speed of the wheels.
Given the formula above the forward speed of the plane should always be
zero and can not generate enough lift to takeoff.

is the viewpoint im taking on this. (googled it).

If the treadmill is intended to match the speed of the airplanes wheels at every moment, then frictionless wheel bearings mean naff all. Wheels will be spinning... treadmill will be spinning just as fast. To someone standing outside the treadmill plane system it will appear stationary, onboard ground speed will be sky high, yet airspeed will also be 0.

Airspeed is what allows the plane to take off. NOT GROUND SPEED. So... there.

Edit:

Or in your words, in relation to the ground (treadmill) the plane will be moving at mach 2. in relation to the air, itll be stationary.

The plane takes off.  Now move along folks.

Id explain it, but in all honesty trying to get simple physical concepts through to a certain person on these boards is like slamming ones head in a vault door.

All Ill say is this:  The wheels are freely rotating.  Their rotation doesnt exert a force on the plane itself.  The plane is "pushing" itself forward off the air around it, not the road.

There has been no physical constraints put on the treadmill other than "it has been designed to match the speed of the wheels at every moment".

At least thats the viewpoint im taking it from, as thats the traditional method of discussing this.

Youve just clarified for me that the wheels would have to turn in order for the plane to move forward.

Ive just told you the treadmill would move accordingly.

So... the wheels will move forward, the treadmill will move backwards.

Meaning that the wings stay where they bloody well are, and the plane doesnt take off.

Do you really need me to spell it out for you some more?