20 Dec 2006, 17:19
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#49
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The Twilight of the Gods
Join Date: Jan 2001
Posts: 23,481
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Re: A Plane Problem
Quote:
Originally Posted by Tomkat
Ok, so then E = F + T
Where T is the force exerted by the treadmill on top of friction (F) to counteract whatever forces the engines can exert (E).
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Quote:
Originally Posted by MEEE AGAIN
The friction between the wheels and the track works as if the velocity was twice what it usually is, so y(2) = 2mx + c, not just mx + c. However, if c is greater than 0, which it is, y(2) is less than y, because 2mx + c is less than 2mx + c + c, obviously.
So, the friction in that case would be less than 2F, so there would still be some resultant force on the plane, so it would still accelerate. It would still take off, albeit over a very long time if c is small.
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