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Unformatted text preview: mation in terms of the direction cosines of the axis of the nite rotation. Hint: express the second formula in the matrix form for a general direction of n given by the polar angles ( , ). Check that when n is along z , i.e. for = 0, you recover the matrix expression (4.43). Problem 413 (b) Show that a rotation about any given axis can be obtained as the product of two successive rotation, each through 180 . Problem 414 (A) Verify the the permutation symbol satises the following identity in terms of Kronecker delta symbols ijp rmp = ir jm im jr . (B) Show that ijp ijk = 2 pk . 1...
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This note was uploaded on 12/13/2011 for the course PHYS 701 taught by Professor Bazaliy during the Fall '11 term at South Carolina.
 Fall '11
 Bazaliy
 mechanics, Work

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