Challenging Recreational Mathematics: ELASTIC CATENARY

Παρασκευή 13 Σεπτεμβρίου 2024

Differential equation:

where

, where

is the inverse of the elasticity coefficient of the wire (

= 0 for an inextensible wire) and

its linear mass density.

Cartesian parametrization:

(

)
Curvilinear abscissa:

.
Radius of curvature:

.
Transcendental curve.