Problems_Part8 - Physics 409 Classical Mechanics 15 October...

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Physics 409: Classical Mechanics Fall ‘12 15 October Lecture schedule : 15 October, Chapter Test #3 on Ch. 3 16 October, Ch.4, Sec. 4.10 Reading Tips for 16 October : Are the Coriolis force and the centrifugal force real or effective forces? What effect does the centrifugal force have on the shape of the earth? What effect does the Coriolis force have on an object moving with respect to the Earth’s surface? Homework Set #8: Due Thursday, 18 October (1) GPS Problem 4.1 (2 nd ed. Problem #1) (2) GPS Problem 4.2 (2 nd ed., Chap.4, Problem 2) Note: adjoint means transpose plus complex conjugation. (3) GPS Problem 4.15 (2 nd ed., Chap.4, Problem 19) (4) GPS Problem 4.20 (2 nd ed.,Chap.4 Problem 9) Hint: Review my course notes on the rate of change of a vector in space-fixed and body frames where Prob. 4-9 (2 nd ed. numbering) is mentioned. Also, study the “2 nd Place Contrived” photo on the other side. Typo in some printings of Goldstein 2 nd ed. : On p. 176, in some versions, the angles that are arguments of trig functions have “dots” on them. They should

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