22 0 obj 30 0 obj Classical Mechanics LECTURE 6: THE CENTRE OF MASS Prof. N. Harnew University of Oxford MT 2016 1. 18 0 obj endobj Symplectic geometry & classical mechanics, Lecture 6 - YouTube %���� << /S /GoTo /D (Outline3.3.10) >> 17 0 obj x��W�N1��W�8s��ݹ%�E(��iNQ�Y%�! << /S /GoTo /D (Outline1) >> THE CENTRE OF MASS 6.1 Lab & CM frames of reference 6.2 Internal forces and reduced mass 6.3 The Centre of Mass 6.3.1 CM of a continuous volume 6.3.2 Velocity in the Centre of Mass frame 6.3.3 Momentum in the CM frame 6.3.4 Motion of CM under external forces 6.4 Kinetic energy … 2015 Fall Physics Lectures from the University of Arkansas - Fayetteville, AR. endobj << /S /GoTo /D [39 0 R /Fit ] >> /Filter /FlateDecode endobj endobj >> 21 0 obj 61 0 obj << endobj endobj (6.3.2 Velocity in the Centre of Mass frame) The class provides a geometric approach to classical mechanics. OUTLINE : 6. (6.3.4 Motion of CM under external forces) �ߧ����DHY�h�_W���G�3������-@�dE��|�L�3|H�����(�:k��6�Z���!dSJQ,�Έ��`#��S^�MbF`��Bc��{��G1. In this first half, we work on getting the amplitude and phase terms as well as calculating the resonance frequency. 9 0 obj 6 0 obj endobj << /S /GoTo /D (Outline3.2.9) >> 26 0 obj << /pgfprgb [/Pattern /DeviceRGB] >> (6.4 Kinetic energy and the CM) Geometry helps to clarify the calculus and physics of mechanics and shows that the symmetry principles behind classical theory also underlie quantum theory.Course Web site:http://www.uark.edu/ua/modphys/markup/CMwBangWeb.htmlLecture ## \"slide\" presentation (pdf) file: http://www.uark.edu/ua/modphys/pdfs/CMwBang_Pdfs/CMwBang_Lectures_2015/CMwithBang_Lect.6_9.10.15.pdf 25 0 obj << /S /GoTo /D (Outline2) >> endobj Classical Mechanics | Lecture 6 |Conservation of linear Momentum Part 2 #classicalmechanics (6.3 The Centre of Mass) (6.2 Internal forces and reduced mass) endobj 2015 Fall Physics Lectures from the University of Arkansas - Fayetteville, AR. endobj stream << /S /GoTo /D (Outline3) >> %PDF-1.4 33 0 obj /Length 881 These videos are a component of the graduate course PHYS 5103 - \"Advanced Mechanics\" using the text \"Classical Mechanics with a Bang!\", both developed by Prof. William G. Harter. endobj 3 0 obj endobj endobj endobj << /S /GoTo /D (Outline3.4.11) >> endobj 13 0 obj This lecture note covers Lagrangian and Hamiltonian mechanics, systems with constraints, rigid body dynamics, vibrations, central forces, Hamilton-Jacobi theory, action-angle variables, perturbation theory, and continuous systems. << /S /GoTo /D (Outline4) >> endobj 37 0 obj (6.1 Lab \046 CM frames of reference) This lecture is focused on forced harmonic oscillators and resonance. endobj (6.3.3 Momentum in the CM frame ) 10 0 obj 14 0 obj endobj Classical Mechanics III by Prof. Iain Stewart. 29 0 obj << /S /GoTo /D (Outline3.1.7) >> 34 0 obj (6.3.1 CM of a continuous volume) 38 0 obj