Hi i'm an applied maths student i'd like to study about catenary

AI Thread Summary
Catenary studies are essential in applied mathematics, with resources available for deeper understanding. Recommended texts include "Calculus of Variations" by Gelfand and Fomin, which provides a rigorous approach, and "Perfect Form" by Don Lemons, offering a more accessible perspective for undergraduates. Both books are affordable and can be found in libraries or purchased used. Additional information can be found on the Wikipedia page dedicated to catenaries. These resources will help in exploring the mathematical and practical applications of catenary curves.
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hi I'm an applied maths student i'd like to study about catenary.. where can i get details of catenary and its applications in detail?which book i can refer or is there any website i can go for?
 
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There's a nice text by Gelfand and Fomin on the calculus of variations, of which this problem is an example. If you want something more pedestrian try 'Perfect Form' by Don Lemons which also deals with the problem (and many others) but from an undergraduate physics perspective. Both are nice little paperbacks that you can either find at a library or buy used for little.
 
Thread 'Question about pressure of a liquid'
I am looking at pressure in liquids and I am testing my idea. The vertical tube is 100m, the contraption is filled with water. The vertical tube is very thin(maybe 1mm^2 cross section). The area of the base is ~100m^2. Will he top half be launched in the air if suddenly it cracked?- assuming its light enough. I want to test my idea that if I had a thin long ruber tube that I lifted up, then the pressure at "red lines" will be high and that the $force = pressure * area$ would be massive...
I feel it should be solvable we just need to find a perfect pattern, and there will be a general pattern since the forces acting are based on a single function, so..... you can't actually say it is unsolvable right? Cause imaging 3 bodies actually existed somwhere in this universe then nature isn't gonna wait till we predict it! And yea I have checked in many places that tiny changes cause large changes so it becomes chaos........ but still I just can't accept that it is impossible to solve...

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