As the belt picks up speed the plane must increase the engine speed to stop it going backward, in the meantime the belt is turning the wheels at the same speed.
We now have a stalemate, the conveyor is trying to take the plane backward, and the propeller is trying to move the plane forward, we have equilibrium.
Plane still ain't taking off
No mate you have the opposite, you have apposing force which can only ever result in motion relative to each other
OK. The plane is fixed to the wheels, you say. How are they fixed?
How does the relationship between the wheels and belt stop the plane's engine applying sufficient thrust to drive the plane forwards?
It doesn't stop the plane driving forward, but in order to do so the wheels have to travel faster than the belt.
The wheels are attached to the plane, for the plane to move the wheels have to turn.
No whilst they are in contact with each other then one can never go faster than the other, ever It defies physics they will always be at the same speed
Think of the wheels as indicators of apposing force
Equilibrium results in the wheels not moving
I'll try one last time
The earth is rotating on its axis at a speed of around about 1000 MPH at the equator,it rotates toward the east
So a plane sitting on a east/west facing runway located at the equator is either traveling forward at a 1000 mph along with the runway or traveling backwards at 1000 mph along with the runway
Of course no motion is perceived as its in equilibrium with the ground , indicated by the lack of wheel movement
So how can a plane take off facing either eastbound or westbound?
Easy it just has to go off in either direction with enough apposing force to interact with the air around it that is to cause lift
So head off west ward at around 85 knots so you are going about 100mph slower than the rest of the earth and you will take off
Alternatively head off west ward at around 85 knots so you are going about 100mph faster than the rest of the earth and you will also take off
In either scenario right up to the moment the plane lifts off, the wheel surface will be at the same speed as the ground but in the opposite direction
Now sit the plane on a conveyor belt that is in contact with the earth
Along side it sit a car on another conveyor that also tracks the wheel motion
In the case of the car it will sit stationary in space and there is nothing the driver can do about it as it is the engine transfering all its power to the wheel that is trying to propel the car, so the conveyor can in turn apply a directly apposing force
The plane how ever is not propelling it's self via the wheels so the belt can't keep the plane stationary as it cant have any effect on the planes method of propulsion