9/11/2013PHY 711 Fall 2013 -- Lecture 71 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 7: Continue reading.

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PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
Chap. 20 in Shankar: The Dirac equation
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
PHY 711 Classical Mechanics and Mathematical Methods
Presentation transcript:

9/11/2013PHY 711 Fall Lecture 71 PHY 711 Classical Mechanics and Mathematical Methods 10-10:50 AM MWF Olin 103 Plan for Lecture 7: Continue reading Chapter 3 1.Lagrange’s equations 2.D’Alembert’s principle

9/11/2013PHY 711 Fall Lecture 72

9/11/2013PHY 711 Fall Lecture 73

9/11/2013PHY 711 Fall Lecture 74

9/11/2013PHY 711 Fall Lecture 75 Summary of results from the calculus of variation

9/11/2013PHY 711 Fall Lecture 76 Application to particle dynamics Simple example: vertical trajectory of particle of mass m subject to constant downward acceleration a=-g.

9/11/2013PHY 711 Fall Lecture 77 Kinetic energy Potential energy

9/11/2013PHY 711 Fall Lecture 78

9/11/2013PHY 711 Fall Lecture 79

9/11/2013PHY 711 Fall Lecture 710

9/11/2013PHY 711 Fall Lecture 711

9/11/2013PHY 711 Fall Lecture 712 Jean d’Alembert

9/11/2013PHY 711 Fall Lecture 713 D’Alembert’s principle:

9/11/2013PHY 711 Fall Lecture 714

9/11/2013PHY 711 Fall Lecture 715

9/11/2013PHY 711 Fall Lecture 716

9/11/2013PHY 711 Fall Lecture 717

9/11/2013PHY 711 Fall Lecture 718 Example:  d

9/11/2013PHY 711 Fall Lecture 719

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