247_Problem CHAPTER 9

247_Problem CHAPTER 9 - PROBLEM 9.171 Determine the mass...

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PROBLEM 9.171 Determine the mass moment of inertia of the machine component of Problems 9.138 and 9.157 with respect to the axis through the origin characterized by the unit vector ( ) 48 / 9 =− + + ij k λ . SOLUTION From Problem 9.138: 2 4.212 kg m x I = 2 7.407 kg m y I = 2 3.7055 kg m z I = From Problem 9.157: 2 0.19312 kg m xy I = −⋅ 2 0.30987 kg m yz I = 2 2.25956 kg m zx I = Now () 1 9 OL =− ++ k λ Eq. (9.46): 222 OL x x y y z z xy x y yz y z zx z x II I I I I I λ λλ =++− 22 2 1 4.212 7.407 3.7055 99 9    + +     
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