English

Rotating strings

Classical Physics 2013-05-22 v3 Soft Condensed Matter Mathematical Physics math.MP

Abstract

Analytical expressions are provided for the configurations of an inextensible, flexible, twistable inertial string rotating rigidly about a fixed axis. Solutions with trivial radial dependence are helices of arbitrary radius and pitch. Non-helical solutions are governed by a cubic equation whose roots delimit permissible values of the squared radial coordinate. Only curves coplanar with the axis of rotation make contact with it.

Keywords

Cite

@article{arxiv.1204.4941,
  title  = {Rotating strings},
  author = {J. A. Hanna},
  journal= {arXiv preprint arXiv:1204.4941},
  year   = {2013}
}

Comments

added to discussion and made small revisions to text

R2 v1 2026-06-21T20:53:14.462Z