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Analytical Mech Homework Solutions 126

# Analytical Mech Homework Solutions 126 - For = 45 = 2 2 = 2...

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For , 45 α = D 2 ω Ω= For 2 1s π = , 1 2 2 1.414 Ts s == = G 45 o 3 2 1 1 T is the period of precession of G about 3 ˆ e . , From equation 9.6.12 1 1 2 2 2 2 2 2 22 21 11 c o s 1 2 s I I φω   =+−     ± 5 2 = ± 2 2 0.4 0.632 s φ == = ± G is the period of wobble of about 2 T 3 ˆ e L . (b) 2 12 17 12 16 16 12 ma m III a === + =⋅ a () 2 3 2 12 12 s mm II aa + = a From equation 9.5.8, 1 5 1 17 17 16 = 1 7 2 1.603s 15 = From equation 9.6.12, 1 2 2 2 6 1 17 2 =+ ± 1.5072 = ± 2 0.663s 1.5072 = ± 9.10 From equation 9.6.10, tan tan s I I θ = . Since s I I > , < and the angle between the axis of rotation G and the G invariable line
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