Rotating strings
classification
⚛️ physics.class-ph
cond-mat.softmath-phmath.MP
keywords
axisradialrotatingsolutionsanalyticalarbitraryconfigurationscontact
read the original 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.
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