ph409_assign02 - functional is. Note the formal similarity...

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Physics 409: Classical Mechanics Fall ‘10 31 August Lecture schedule : 31 August- 2 September: Chapter 1 7 September: Finish Ch. 1, start Ch.2, Sec. 2.2 Reading tips for 2 Sept. : Focus on: The Principle of Virtual Work and D'Alembert's Principle What is a generalized coordinate Transforming from Cartesian coordinates to generalized coordinates (special cases: spherical and cylindrical coordinates) Different forms of the Lagrange Equations of Motion (EOM) General form for the kinetic energy in terms of generalized coordinates Reading tips for 7 Sept. : Try to understand what a
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Unformatted text preview: functional is. Note the formal similarity between Eulers equations and the Lagrange equations of motion. In Eulers equations what plays the role of L (the Lagrangian) and of t (time)? Homework Set #2: Due Tuesday, 7 September (1) Chap.1, GPS Problem 8 (#14 in 2 nd ed) (2) Chap.1, GPS Problem 19 (#17 in 2 nd ed.)(2 degrees of freedom for a spherical pendulum) (3) Chap.1, GPS Problem 21 (# 19 in 2 nd ed.) Use the radial coordinate r of m 1 as one of your generalized coordinates. (4) Chap.1, GPS Problem 22 (#20 in 2 nd ed.)...
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