83_Problem CHAPTER 9

83_Problem CHAPTER 9 - PROBLEM 9.72 Using the parallel-axis...

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PROBLEM 9.72 Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. SOLUTION Note: Orientation of 3 A corresponding to a 180° rotation of the axes. Equation 9.20 then yields x yx y I I ′′ = Symmetry implies ( ) 1 0 xy I = Using Sample Problem 9.6 () ( ) 22 4 2 1 9 in. 4.5 in. 22.78125 in 72 xy I =− and ( ) 2 2 1 9 in. 1.5 in. 9 in. 4.5 in. 20.25 in 2 XY A == = = Similarly, ( ) 4 3 1 9 in. 4.5 in.
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This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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