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Analytical Mech Homework Solutions 127

Analytical Mech Homework Solutions 127 - I 1 tan Is tan = I...

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( ) 2 1 tan tan 1 tan s s I I I I α α θ α = + ( ) 1 2 tan tan tan s s I I I I α α θ α = + 9.11 α θ is a maximum for s I I a maximum. For 2 s I I = , ( ) 2 tan tan 2 tan α α θ α = + ( ) ( ) ( ) 2 2 2 2 2 2 2 tan 1 2tan 2 tan tan 2 tan 2 tan 2 tan d d α θ α α α α α α = = + + + At the maximum, ( ) 2 tan 0 2 tan tan d d α θ α α = = 1 tan 2 54.7 α = = D ( ) ( ) 2 1 1 2 2 2 tan 1 4 1 2 2 α θ = + 1 2 tan 19.5 4 α θ = D 9.12 (a) From Problem 9.10, for s I I > , the angle between ω G and L G is … ( ) 1 2 tan tan tan s s I I I I α α θ α = + From Problem 9.9(a),
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