s1126 - ADVANCED DYNAMICS PHY 4241/5227 SOLUTIONS SET...

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ADVANCED DYNAMICS — PHY 4241/5227 SOLUTIONS – SET 9 (26.1) 1 q 1 - tanh 2 ( ζ ) = v u u t cosh 2 ( ζ ) cosh 2 ( ζ ) - sinh 2 ( ζ ) = cosh( ζ ) . (26.2) cosh( ζ 1 ) cosh( ζ 2 ) + sinh( ζ 1 ) sinh( ζ 2 ) = e ζ 1 + e - ζ 1 2 e ζ 2 + e - ζ 2 2 + e ζ 1 - e - ζ 1 2 e ζ 2 - e - ζ 2 2 = e ζ 1 + ζ 2 + 2 e ζ 1 - ζ 2 + e - ζ 1 - ζ 2 4 + e ζ 1 + ζ 2 - 2 e ζ 1 - ζ 2 + e - ζ 1 - ζ 2 4 = cosh( ζ 1 + ζ 2 ) (26.3) tanh( ζ 1 + ζ 2 ) = sinh( ζ 1 + ζ 2 ) cosh ζ 1 + ζ 2 = sinh( ζ
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This note was uploaded on 11/10/2011 for the course PHY 4241 taught by Professor Berg during the Spring '11 term at University of Florida.

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