The permanent rotations of a balanced non-autonomous gyrostat |
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Institution: | 1. Center for Process Research & Innovation, Dr. Reddy’s Institute of Life Sciences, University of Hyderabad Campus, Gachibowli, Hyderabad 500 046, Telangana, India;2. Centre for DNA Fingerprinting and Diagnostics, 7, Gruhakalpa, 5-4-399/B, Nampally, Hyderabad 500 001, Telangana, India;3. National Institute of Pharmaceutical Education and Research (NIPER-HYD), Balanagar, Hyderabad 500 037, Telangana, India;1. Safran, Rue des Jeunes Bois, Châteaufort CS 80112 - 78772 Magny-les-Hameaux Cedex, France;2. ETH Zürich, Institute for Mechanical Systems, Tannenstrasse 3, 8092 Zürich, Switzerland,;1. Instituto de Física da USP, Rua do Matão, Travessa R 187, Cidade Universitária, 05508-090 São Paulo, SP, Brazil;2. School of Mathematics, University of Bristol, Bristol, United Kingdom;3. Departamento de Física, UNESP – Univ Estadual Paulista, Av.24A, 1515, 13506-900 Rio Claro, SP, Brazil;4. The Abdus Salam, ICTP, Strada Costiera, 11, 34151 Trieste, Italy;1. College of Economics and Management, Shanghai University of Political Science and Law, 7989 Waiqingsong Road, Shanghai 201701, China;2. National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, 199 Ren-Ai Road, Suzhou, 215123, China |
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Abstract: | The permanent rotations of a gyrostat about its fixed centre of gravity are investigated. It is assumed that the lines of action of the time-dependent gyrostatic momentum vector maintain a constant position in a reference system attached to the carrier body. It is shown that, if the total angular momentum of the gyrostat is non-zero, permanent rotations can only occur about its principal axes of inertia. In that case the gyrostatic momentum vector must be collinear with one of the principal axes of inertia of the gyrostat. |
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