Analytical Mech Homework Solutions 5

Analytical Mech Homework Solutions 5 - 1.13 For rotation...

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1.13 For rotation about the z axis: ii ˆˆ cos , jj φ ′′ ⋅= =⋅ 1 kk ij sin sin ji For rotation about the axis: y cos , θ 1 ik ˆ ˆ sin ki ˆ ˆ sin T cos 0 sin cos sin 0 cos cos cos sin sin 01 0 s i nc o s0 s i n c o s 0 sin 0 cos 0 0 1 sin cos sin sin cos θφ φφ θθ −−   =− =  I 1.14 3 cos30 2 1 sin30 2 ˆ ˆ 0 = = D D 1 2 3 cos30 2 ˆ ˆ 0 jk = = D D kj ˆ ˆ 0 ˆ ˆ 0 1 = = = 31 3 0 3 22 2 2 13 3 03 2 1 001 1 x y z A A A   + =  K ˆ 3.232 1.598 Ai j k =+ 5
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