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96_Problem CHAPTER 9

96_Problem CHAPTER 9 - PROBLEM 9.82 Determine the moments...

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PROBLEM 9.82 Determine the moments of inertia and the product of inertia of the area of Problem 9.75 with respect to new centroidal axes obtained by rotating the x and y axes through o 60 counterclockwise. SOLUTION From Problem 9.75 64 1.5732 10 mm xy I Now ( ) ( ) ( ) 123 x xx x I II I =++ where () ( ) 3 4 1 1 150 mm 12 mm 21 600 mm 12 x I == and () () 32 23 1 12 mm 38 mm 12 mm 38 mm 25 mm 12 xx II  +  4 339 872 mm = Then ( ) 44 6 4 21 600 2 339 872 mm 701 344 mm 0.70134 x I =+ = Also ( ) ( ) ( ) yy y
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