The exact text of the image says: "Imagine a 747 is sitting on a conveyor belt, as wide and long as a runway. The conveyor belt is designed to exactly match the speed of the wheels, moving in the opposite direction. Can the plane take off?" The image is of a Boeing 747 jumbo jet on a conveyor belt with no supports between the end axles.
This thing is answered incorrectly because no one reads it exactly as written. The most important part is the "confusing" part that reads "conveyor belt is designed to exactly match the speed of the wheels." We must assume that "match the speed" refers to the same number of linear feet of each surface going past the point of contact in a given time interval. This is obviously not possible in the real world, but in this hypothetical scenario, it would mean that no matter how much the plane tries to go forward, the conveyor is always going the exact same speed in the other direction. Any forward movement of the plane would require a mismatch in the speeds favoring the plane wheels, violating this constraint.
The plane does not have vertically or diagonally oriented engines, rocket boosters, or helicopter-style blades (essentially rotary wings) to apply a lifting force without moving forward, so the only upward force available is that of air passing around the wings (airfoils). Because no forward movement is allowed relative to the conveyor, and because no other method of pushing air past the wings is specified (a headwind, the conveyor/plane pair also being moved forward by something else, a front propeller that pushes air back towards the wings, etc.), there is nothing to lift the plane up, meaning it can never take off under these conditions. Because the turbofan engines on the wings are oriented horizontally and mounted directly below the wings, they can't generate lift either.
In reality, even the slightest imperfections will cause the plane to move and most likely take off. The Mythbusters segment, for example, used a tarp being pulled by a truck as the "conveyor," but (A) the downward force of the wheels "pushes through" the tarp and is primarily borne by the stationary pavement, (B) there is no way for the truck's tarp pull to perfectly match the speed of the plane's wheels, (C) the plane almost certainly was not perfectly parallel with the tarp after a while, and (D) they used a plane with a front propeller, causing moving air to hit the wings and create (some) lift. They didn't bust the actual myth because it is impossible to create the conditions of the hypothetical in the first place.
The original image plus some decent (but not correct) attempts to answer the question are here: [ Ссылка ]
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