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Physics 235: Classical Mechanics
Prof. S. Teitel stte@pas.rochester.edu  Fall 2001
Problem Set 6
Due Friday, October 19, 1pm, in metal homework locker outside B&L 166
 Problem 64 in the text [15 points]
 Problem 69 in the text [10 points]
 Redo the brachistochrone problem, example 62 in the text, only now using x as the horizontal axis and y as the vertical axis (increasing y points down). Find the functional f[y(x),y'(x);x] that appears in the integral to minimize. Use the second form of Euler's equation, applied to this functional f, to show one gets the same solution as Eq.(6.36) in the text, except with x and y suitably interchanged. [15 points]
