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102_Problem CHAPTER 9 - PROBLEM 9.86 For the area indicated...

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PROBLEM 9.86 For the area indicated, determine the orientation of the principal axes at the origin and the corresponding values of the moments of inertia. Area of Problem 9.72 SOLUTION From the solutions to Problem 9.72 and 9.80 ( ) 4 4 1 501.1875 in 2812.21875 in 2 xy x y I I I = + = ( ) 4 1 1946.53125 in 2 x y I I = − Then Equation (9.25): 2 501.1875 tan 2 0.257477 1946.53125 xy m x y I I I θ = − = − = or 2 14.4387 and 194.4387 m θ = ° ° or
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