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-   -   The "Plane on a Treadmill" Question (http://cellar.org/showthread.php?t=12670)

SteveDallas 12-07-2006 12:37 PM

You sound like you're itching to re-do the problem with accurate friction coefficients included!

Undertoad 12-07-2006 12:38 PM

The stated scenario is that the treadmill moves the same speed as the plane. According to your (flint's) take (faulty) on the question, the plane doesn't move and therefore the treadmill doesn't move.

Flint 12-07-2006 12:38 PM

Re-do whatever you want, but the answer to this question is: a stationary plane will not take off spontaneously.

Quote:

Originally Posted by Undertoad
According to your (flint's) take (faulty) on the question, the plane doesn't move and therefore the treadmill doesn't move.

No, the stated (post #1) take (this thread) is that the plane and the treadmill move at equal speeds, in the opposite direction.

Undertoad 12-07-2006 12:40 PM

Another way to look at it: can a sea plane take off if it's floating down a current faster than its takeoff speed? Sure, the minute its props spin, it will be generating enough force to overcome the friction of the moving water.

Flint 12-07-2006 12:42 PM

Just look at it the way is is, as stated.

SteveDallas 12-07-2006 12:43 PM

You've got velocity and acceleration. The engines are applying force to the plane and therefore accelerating it. The treadmill has velocity, but it cannot impart any acceleration to the plane.

LabRat 12-07-2006 12:44 PM

1 Attachment(s)
Here:

Flint 12-07-2006 12:44 PM

blah blah blah

The plane cannot move forward because the question tells you that. It doesn't matter "how" . . . READ THE QUESTION.

LabRat 12-07-2006 12:45 PM

Quote:

Originally Posted by Kitsune
The riddle/question is on every other forum. I figure I should bring the torture here, as well.

A plane is standing on a runway that can move, like a giant treadmill. When the plane's engines throttle up, it begins to move forward, but the treadmill is made to match the forward speed of the plane, only in the opposite direction. So, as the plane moves forward, it moves backwards beneath the aircraft.

As the engines throttle up, does the plane take off?

My bolding.

Flint 12-07-2006 12:46 PM

re-re-edit
 
Quote:

but

LabRat 12-07-2006 12:46 PM

butt

Shawnee123 12-07-2006 12:48 PM

No labrat posts without going back to the butt! :)

Flint, I totally agree with you. The question says the motion is cancelled. No motion...doesn't matter how.

Flint 12-07-2006 12:49 PM

Ya, we know about your butt, okay. It's so awesome, etc.

LabRat 12-07-2006 12:50 PM

If you read the red it in my quote as referring to the plane, then the answer would seem to be no, the plane can't take off. I read it as referring to the treadmill, thus the plane will take off.

SteveDallas 12-07-2006 12:51 PM

The problem doesn't. It says the speed of the treadmill equals the speed of the airplane. It doesn't say the airplane is prevented from moving forward.


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