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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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Presentation on theme: "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."— Presentation transcript:

1 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 Chapter 3 1.Lagrange’s equations 2.D’Alembert’s principle

2 9/11/2013PHY 711 Fall 2013 -- Lecture 72

3 9/11/2013PHY 711 Fall 2013 -- Lecture 73

4 9/11/2013PHY 711 Fall 2013 -- Lecture 74

5 9/11/2013PHY 711 Fall 2013 -- Lecture 75 Summary of results from the calculus of variation

6 9/11/2013PHY 711 Fall 2013 -- Lecture 76 Application to particle dynamics Simple example: vertical trajectory of particle of mass m subject to constant downward acceleration a=-g.

7 9/11/2013PHY 711 Fall 2013 -- Lecture 77 Kinetic energy Potential energy

8 9/11/2013PHY 711 Fall 2013 -- Lecture 78 http://www.hamilton2005.ie/

9 9/11/2013PHY 711 Fall 2013 -- Lecture 79 http://rjlipton.wordpress.com

10 9/11/2013PHY 711 Fall 2013 -- Lecture 710

11 9/11/2013PHY 711 Fall 2013 -- Lecture 711

12 9/11/2013PHY 711 Fall 2013 -- Lecture 712 Jean d’Alembert 1717-1783

13 9/11/2013PHY 711 Fall 2013 -- Lecture 713 D’Alembert’s principle:

14 9/11/2013PHY 711 Fall 2013 -- Lecture 714

15 9/11/2013PHY 711 Fall 2013 -- Lecture 715

16 9/11/2013PHY 711 Fall 2013 -- Lecture 716

17 9/11/2013PHY 711 Fall 2013 -- Lecture 717

18 9/11/2013PHY 711 Fall 2013 -- Lecture 718 Example:  d

19 9/11/2013PHY 711 Fall 2013 -- Lecture 719

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