Forums: Climbing Information: General: Re: [boadman] Top rope fall analysis w/ strain gauge analyzer: Edit Log




bigo


Mar 14, 2012, 10:01 PM

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Registered: Mar 11, 2002
Posts: 237

Re: [boadman] Top rope fall analysis w/ strain gauge analyzer
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boadman wrote:
jt512 wrote:
boadman wrote:
jt512 wrote:

No, it isn't. A fall factor of 0 is a fall. It occurs when you fall on a rope with no slack and no initial tension—for example, an idealized top rope fall. Hooke's Law predicts that the maximum impact force on the climber will be two times his weight.


Jay

Sure about that?

Pretty sure. We're talking plain vanilla Hooke's Law. No dampening.

Jay

For the climber at the instant he came to rest, the force would be:

-kx = mg

How do you get 2xthe climbers (I assume you meant mass?) "weight" out of that?

Were you thinking about the load the anchor would see? I could understand that, I think.

You are thinking statics, but this is a dynamic system. Also, Jay was scrupulous and said as Hooke's law would predict, so it is not what what you see with a actual top-rope that includes friction/dampening.



From

http://en.wikipedia.org/wiki/Fall_factor

which comes from

http://en.wikipedia.org/.../Harmonic_oscillator


(This post was edited by bigo on Mar 14, 2012, 10:04 PM)



Edit Log:
Post edited by bigo () on Mar 14, 2012, 10:04 PM


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