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Catenary = Physic + Math + IT

ValeryOchkov
24-Ruby III

Catenary = Physic + Math + IT

It is the site of the article "Catenary = Physic + Math + IT" (color picture + Mathcad sheet)

Two students - Three smilesTwo students - Three smilesReal catenaryReal catenaryTwo vectorsTwo vectorsParabola and 3 pointsParabola and 3 pointsParabola thru 3 pointsParabola thru 3 pointsParabola near 10 pointsParabola near 10 pointsCatenary and 10 pointsCatenary and 10 pointslength.pngmass.pngpixel.png

 

Physical Mathematics

6 REPLIES 6

We can have thru 5 points a hyperbola (D<0), an ellipse (D>0) or (good chance D=0) a parabola:

hyperbola-parabola-ellipse.gif

The solution with the Find Function: the partial vectorization!

And second - we can add more points, change the Find function to MinErr function and get not the interpolation but approximation!

XY-Find.png

With lsolve function! We do not need guess values! But how can we add more points (6, 7, 9 etc) without change the Matrix M and the vector v?

XY-lsolve.png 

Chain-Load.gif

One more experiment (see please the attached Mathcad 15 file)

Chain-Load-new.png

Chain-Load-new-Mathcad.png

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