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ph409_assign03 - Physics 409 Classical Mechanics 7...

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Physics 409: Classical Mechanics Fall ‘10 7 September Lecture schedule : L6 - 9 September: Ch.2, Sec. 2.2, 2.1, 2.3,2.5, 2.6, 2.7(3rd Ed.) L7 - 14 September 2.4 (but not the version in GPS) 16 September: Chapter Test #1 on Chapter 1 Reading tips for 9 Sept. : How does symmetry affect the form of the Lagrangian? What is a cyclic coordinate? Are there constants of motion in nonconservative systems? Is the Lagrangian a conserved quantity? Is the energy function , h , always conserved? Reading tips for 14 September : What do the Lagrange undetermined multipliers ( λ j ) physically represent? What type of nonholonomic constraints is best handled by the method of Lagrange undetermined multipliers? What benefit is there from treating holonomic constraints this way? Homework Set #3: Due Tuesday, 14 September (1) A point particle with mass m is suspended vertically by a very stiff massless fiber of length L at a distance X ( X > L ) from a vertical wall that exerts a constant attractive force F on the mass point. The force is perpendicular to the wall.
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