Document Type

Thesis - Open Access

Award Date

2019

Degree Name

Master of Science (MS)

Department

Mathematics and Statistics

First Advisor

Matthew Biesecker

Abstract

This paper describes some possible equilibrium configurations of a string rotating in a certain class of force fields, which have properties motivated by the inverse square gravitational force. Specifically it is shown that for a given number n, there exists a sufficient rotational rate such that any equilibrium configuration with no more than n zeros is guaranteed to exist for any force field in the class considered.

Format

application/pdf

Number of Pages

66

Publisher

South Dakota State University

Rights

In Copyright - Educational Use Permitted
http://rightsstatements.org/vocab/InC-EDU/1.0/

Included in

Mathematics Commons

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