Thread: Science Something amazing to tell you concerning physics and motion
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Old 06-04-2009, 11:12 PM   #451
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Quote:
Originally Posted by prhom View Post
See #437, because the treadmill can accelerate its not a static problem. It's a dynamics problem now, the extra force gets counteracted by some magical force propelling the treadmill to MATCH the speed of the wheel. It's tricky because the wheel and treadmill are by definition going the same speed as long as they are in contact with one another. So you can substitute matched speed with matched force. As soon as the plane starts to "speed up" relative to the treadmill the treadmill will respond with added speed from some magical engine that provides that forces. It's that external magical force that makes this a stupid question.
I stated many many posts ago that the problem is poorly stated.

I violated the statement of the problem (that the treadmill could match the wheel speed)

You violated Newton's second law (by postulating a magical force).

You can't satisfy both Newton's 2nd law and the problem statement in a natural system that doesn't mechanically fail.
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