Imagine, if you will, a plane sitting on a large conveyor belt which is as wide and as long as a runway. The treadmill is designed to match the speed of the wheels, moving in the opposite direction. Can the plane take off?
This question normally stirs up quite a debate, do you think you know without looking it up on the internet? Just think about it, consider the system and the particular physical interactions that are occurring. I'll post an answer to this in a week or so.