Analysis of the motion of a non-holonomic mechanical system |
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| Authors: | D.N. Zeković |
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| Affiliation: | 1. CASP, University of Cambridge, West Building, 181A Huntingdon Road, Cambridge CB3 0DH, United Kingdom;2. HM Research Associates, 2 Clive Road, Balsall Common CV7 7DW, United Kingdom;3. Department of Sedimentology & Environmental Geology, Geoscience Centre, University of Göttingen, Goldschmidtstraβe 3, 37077 Göttingen, Germany;4. School of Earth and Environment, University of Leeds, Leeds LS2 9JT, United Kingdom;5. GNS Science, P.O. Box 30368, Lower Hutt 5010, New Zealand;6. Earth Science Society of Libya, Tripoli, Libya;7. Libyan Petroleum Institute, Gergarish Road, P.O. Box 6431, Tripoli, Libya;8. Maghreb Petroleum Research Group, Department of Earth Sciences, University College London, Gower Street, London WC1E 6BT, United Kingdom;1. Yildiz Technical University, Faculty of Art and Science, Department of Mathematics, Davutpasa 34210,Istanbul, Turkey;2. Yildiz Technical University, Faculty of Art and Science, Department of Mathematics, Davutpasa 34210,Istanbul, Turkey;1. College of Electrical Engineering, Henan University of Technology, Zhengzhou 450001, PR China;2. Huazhong University of Science and Technology, Wuhan 430074, PR China |
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| Abstract: | The motion of a plane non-holonomic mechanical system, consisting of two point masses, which move in such a way that their velocities are mutually perpendicular, is analysed [Zekovi? D. Examples of non-linear non-holonomic constraints in classical mechanics. Vestnik MGU. Ser. 1. Matematika Mekhanika, 1991; 1:100–3]. The equations of the constraints of such a system are derived, the reactions of the constraints are calculated and the cyclical first integrals are written. |
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