a chain (or nylon rode, or a piece of cord string) ALWAYS has a catenary.
ALWAYS.


BWAAAHAAAA!!!! THIS gem from someone who just stated that anybody with
mathematical knowledge would know all about catenary behavior!!!!!
BWAAAHAAAA!


here ya go, dum-dum. you learned something today.

cat·e·nar·y ( P ) Pronunciation Key (ktn-r, k-tn-r)
n. pl. cat·e·nar·ies
The curve formed by a perfectly flexible, uniformly dense, and inextensible
cable suspended from its endpoints. It is identical to the graph of a
hyperbolic cosine.

cate·nary adj.


catenary


\Cat"e*na*ry\, n.; pl. Catenaries. (Geol.) The curve formed by a rope or chain
of uniform density and perfect flexibility, hanging freely between two points
of suspension, not in the same vertical line.

n : the curve theoretically assumed by a perfectly flexible and inextensible
cord of uniform density and cross section hanging freely from two fixed points