The catenary is the curve that is naturally formed when a chain of constant linear density hangs from two fixed points. This is a typical example on variational calculus showing the use of Lagrange multipliers. Next, I develop the problem entirely in

*Mathematica*
Catenary
Catenary(pdf)
You may need

MathematicaPlayer if you do not have

*Mathematica*.

This problem can be generalized to find the surface with minimum energy, which is shown next

## No comments:

## Post a Comment