243_Problem CHAPTER 9

243_Problem CHAPTER 9 - PROBLEM 9.169 The thin bent plate...

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PROBLEM 9.169 The thin bent plate shown is of uniform density and weight W . Determine its mass moment of inertia with respect to the line joining the origin O and point A . SOLUTION First note that 12 1 2 W mm g == And that () 1 3 OA =+ + ijk λ Using Figure 9.28 and the parallel-axis theorem have ( ) ( ) x xx I II 2 2 11 1 12 2 2 2 WW a a gg       22 1 12 2 2 2 2 a a aa    ++ + +      2 1 1 1 1 2 1 24 62 2 a + + = ( ) ( ) yy y I 1 12 2 2 2 2 a a  + +  2 2 2 1 12 2 2 2 a +
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