logcosine curve

exponential

last updated: 2004-01-23

 

Given a flexible inextensible rope, hanging between two fixed points. The logcosine curve is found as form for the rope when the resistance is constant 1).

The curve has been studied by Gilbert (1826) and Coriolis (1836).

 

 


notes

1) Corresponding to the differential equation: y'' = 1 + y'2.