31_Problem CHAPTER 9

31_Problem CHAPTER 9 - PROBLEM 9.36 Determine the moments...

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PROBLEM 9.36 Determine the moments of inertia of the shaded area shown with respect to the x and y axes. SOLUTION Have ( ) ( ) ( ) 123 x xx x I III =−− () 3 44 1 32 12 8 8 aa a a ππ    =−       22 88 4 π    or 4 1.215 x I a = W Also ( ) ( ) ( ) yy y y I () () 2 3 1 23 12 2 a =+ 42 2 2 82 3 2 3 a a  −− +    2 3 2 3 a a + 93 8 8 8 2 89 39 −−+− + 84 8 1 1 10
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