(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

My professor told me about this problem and I wanted to do it to practice for the test.

A rope attached to two fixed points A and B will take the shape that minimizes the potential energy. Find the shape of the curve.

2. Relevant equations

mgy

df/dy-d/dx(df/dy')=0

3. The attempt at a solution

The rope is an extended object and every point is at a different height. I started by considering the potential energy at one such point as dM*g*Y(x) where dM=row dx.

I was going to intergrate with

U=row*g[tex]\int y(x)*dx[/tex]

then treat y(x) as my functional.

Am I on the right path?

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Hanging rope calc of variations

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