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Analytical Mech Homework Solutions 129

# Analytical Mech Homework Solutions 129 - From equation...

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From equation 9.5.8, with ( ) 1 1 1 3 ˆ ˆ e e e ω ω ω ω = + = + D ˆ G G : ( ) ( ) ( ) 2 1 2 cos45 ω ω Ω = = D From equation 9.6.12 … ( )( ) 1 2 2 2 2 1 2 1 cos 45 5 φ ω ω = + = D ± 9.15 ( ) 1 1 2 2 3 3 ˆ ˆ ˆ N c c e e e ω ω ω ω = − = − + + G G Say the 3 axis is the symmetry axis, 3 s I I = , 1 2 I I I = = For the third component of equations 9.3.5 … 3 3 0 s c I ω ω = + ± ω G N G α 3 1 3 3 s c I ω ω = − ± ( ) 3 3 ln s c t I ω ω = − D ( ) 3 3 s ct I e ω ω = D 2 For the first two components of equations 9.3.5 … ( ) 1 1 2 3 s c I I ω ω ω ω I = + ± , and ( ) 2 2 1 3 s c I I I ω ω ω ω = + ± Rearranging terms and multiplying by 1 ω and 2 ω respectively … ( ) 2 1 1 1 1 2 3 0 s c I I I ω ω ω ω ω ω + + = ± ( ) 2 2 2 2 1 2 3 0 s c I I I ω ω ω ω ω ω + = ± Adding,
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