Analytical Mech Homework Solutions 3

Analytical Mech Homework Solutions 3 - 0 = A B = ( q ) ( q...

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1.7 () () () ( ) ( )( ) 2 1 2 AB q q q q q =⋅= + −+ = − + K K 03 3 2 0 , q 21 qq −− = 1 = or 2 1.8 2 22 2 AB AB A B +=+ ⋅+=++⋅ KK K K K K 2 2 A B += + + K K   Since , cos A B AB AB θ ⋅= K K AB A B + ≤+ K K K K cos cos = K K cos B B 1.9 Show ( ) C A CB A B C ×× =⋅ −⋅ K K K or ( ˆ ˆˆ xyz x xy yz z x z ijk B B A C A B A BC CCC ×= + + + + K ˆ xx yxy zxz xxx yyx zzx C ABC ABC i =++−−− ˆ x yyy zyz xxy zzy C j +++−−− ˆ x yzy zzz xxz yyz C k ) x xz ˆ ˆ ˆ xyx xzx j ABC k +−− =+ + ++−− 3
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