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112_Problem CHAPTER 9

112_Problem CHAPTER 9 - PROBLEM 9.94 Using Mohr's circle...

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PROBLEM 9.94 Using Mohr’s circle, 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 Problems 9.75 and 9.82 64 0.70134 10 mm x I 7.728 y I 1.5732 xy I Now () ave 1 4.2147 2 xy II I =+ = × and 2 26 4 3.8494 2 xy RI  = ×   Then ( ) 1 21 .5732 2t a n 2 4 . 1 2 0.70134 7.728 m θ  =   and 120 24.12 90 5.88 α = °− = ° Then ( ) ave sin
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