Originally posted by sugiezd
If it's slippery, you're absolutely right.
If the wheels turn in the normal way - their speed must be the same as that of the belt - to fulfill the conditions of the original problem - it won't then move relative to an external oberver.
If you want to change the problem, fine but as it stands......
"A plane is standing on a runway that can move (some sort of treadmill). The plane moves in one direction, while the conveyer moves at the same speed but in the opposite direction. Can the plane take off?"
You're interpreting this question in a bizarre manner.
Where in the original question does it say the wheels have to turn at the same speed as the conveyor?
Keep in mind it's the PLANE we are interested in i.e. "The
PLANE moves in one direction...".
You seem to think measuring the speed the wheels are rotating is the only valid way to measure the plane's speed. That's complete BS. The only thing that measures is the plane's speed relative to the conveyor.
Using a GPS system or say a radar gun measures the absolute speed of the plane i.e. the speed relative to a stationary observer. This is the interpretation the vast majority of people in the discussion have taken and a far more valid one IMO.
Do you agree that if we make the frame of reference a stationary observer the plane will take off?