COSMOS: Complete Online Solutions Manual Organization System
Chapter 9, Solution 171.
I x = 4.212 kg ⋅ m 2
From Problem 9.138:
I y = 7.407 kg ⋅ m 2
I z = 3.7055 kg ⋅ m 2
I xy = −0.19312 kg ⋅ m 2
From Problem 9.157:
I yz = 0.30987 kg ⋅ m 2
I zx = 2.25956 kg ⋅ m 2
Now
Eq. (9.46):
λ OL =
1
( −4i + 8j + k )
9
I OL = I xλx2 + I y λ y2 + I z λz2 − 2 I xy λxλ y − 2I yz λ y λz − 2I zxλz λx
2
2
2
4
8
1
= 4.212 − + 7.407 + 3.7055
9
9
9
4 8
8 1
− 2 ( −0.19312 ) − − 2 ( 0.3098 )
9 9
9 9
1 4
− 2 ( 2.25956 ) − kg ⋅ m 2
9 9
= ( 0.832 + 5.85244 + 0.04575 − 0.15259 − 0.061195 + 0.22317 ) kg ⋅ m 2
= 6.73957 kg ⋅ m 2
I OL = 6.74 kg ⋅ m 2
COSMOS Chapter 9 Solution 171
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