Analytical Mech Homework Solutions 145

# Analytical Mech Homework Solutions 145 - L V = m ( x + 2 y...

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() 2 LV mx y yy ωω ∂∂ =−+ ± 2 V my x m x y y ω +=− + − ±± ± ± 2 2 y Fm y x y =+− ± For comparison, from equation 5.3.2 ( 0 0 A = G and 0 = G ± ) G G ( ) 2 a m vm r ′′ =+ × +×× G GG G G G ( ) ( ) ˆˆ ˆ 2 F m ix jy m k ix jy m k k ix jy =+ + × + + ± ± 2 2 x x y x =−− ± 2 2 y y x y ± 10.9 Choosing the axis of rotation as the z axis … ( ) vv r i xj yk z ki z =+×= ++ + ×++ GG GG ± G ˆ ˆ vix y jy x k z =− + ++ ± 22 2 2 1 m Tm v v xx y y xx z =⋅ = − ++ + ++ ± 2 LTV =− L y x ± ± dL y dt x    ± ± , 2 x x x ± 2 V y x x −= ± ± 2 2 x x y x ± L x y ± ± , x dt y ± ± 2 y ± 2 V x y y ± ± 2 2 y y x y ± L mz z = ± ± , mz dt z = ± , zz z V mz F z = From equation 5.3.2 ( and 0 0 A = G 0 = G ± ) … 7
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## This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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