The skipping rope curve

Authors: Nordmark, A., Essén, H.
Document Type: Article
Pubstate: Published
Journal: European journal of physics
Volume: 28   241-247
Year: 2007


The equilibrium of a flexible inextensible string, or chain, in the centrifugal force field of a rotating reference frame is investigated. It is assumed that the end points are fixed on the rotation axis. The shape of the curve, the skipping rope curve or troposkien, is given by the Jacobi elliptic function sn.