Quote Originally Posted by speedminded
*sigh* You're just thinking too hard about it.

A plane is propelled by it's engine, not it's wheels, therefore it's nothing like someone running on a treadmill or car on a dyno. There is nothing preventing the plane from propelling itself forward.
I understand that the wheels do not propel the plane.

The OP posted stated that the conveyor belt moves in the opposite direction at the same speed as the plane.

The plane will never have forward motion if the conveyor belt continues to move at the same speed as the plane in the opposite direction.