ph409_assign06 - Physics 409 Classical Mechanics 28...

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Physics 409: Classical Mechanics Fall ‘10 28 September 2010 Lecture schedule : 28 September: Chapter 3; 30 September: Chapter Test #2 on Ch. 2 (more problems setting up and solving Lagrangians, including Lagrange multipliers, plus calculus of variations problems) 5 October: Ch. 3, Sec 3.9, 3.10 Review Session: Tuesday 28 September, 3:30 until 6pm, Rm. 202 Reading Tips for 5 October : For 5 October: What is the Laplace-Runge-Lenz vector? What is its significance? How do you calculate a scattering cross section from the solution to the two-body central force problem? Homework Set #6: Due Tuesday, 5 October (1) GPS Prob. 3.33 (in 2 rd ed. #3.1) The equation for a paraboloid of revolution is z = a ( x 2 + y 2 ). (2) GPS Prob. 3.11 (in 2 rd ed. #3.3) (3) GPS Problem 3.13 (2 nd ed. #3.6) (4) A particle of mass m moves in a central force field given by the potential V ( r ) = k ln( r / a ), where k and a are positive constants. Note that this potential is attractive ; it arises from an infinite line of mass. (a) Write the equations of motion and reduce them to the equivalent 1-d problem. Use the
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