Analytical Mech Homework Solutions 135

Analytical Mech Homework Solutions 135 - For Problem 9.4:...

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For Problem 9.4: 2 13 0 0 01 00 12 005 ma I   =  I , 1 2 14 3 ω = G 2 13 0 0 1 002 12 14 0053 ma LI == GI G 2 13 20 12 14 15 ma = () 2 13 11 1232 0 22 14 12 14 15 ma TL ωω =⋅ = G G 7 13 40 45 24 14 24 ma ma =+ + = 9.22 Since the coordinate axes are axes of symmetry, they are principal axes and all products of inertia are zero. G 2c 2b 2a z x From Table 8.3.1, () () 12 3 xx mm I bc b c  =  + 3 yy m I ac , 3 zz m I ab y 3 m Ia c + + I 123 1 222 2 ˆˆˆ a ae be ce b abc c     + =   ++     G G From equation 9.1.28, = 1 2 3 a m La c ab c + b          +   G 1 2 3 c m Lb ca b + + G a c From equation 9.1.32, 1 2 T G G 15
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This note was uploaded on 01/06/2012 for the course PHYSICS 4360C taught by Professor Johnanderson during the Fall '11 term at UNF.

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