287_Problem CHAPTER 9

287_Problem CHAPTER 9 - PROBLEM 9.189 Using the...

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PROBLEM 9.189 Using the parallel-axis theorem, determine the product of inertia of the area shown with respect to the centroidal x and y axes. SOLUTION Have ( ) ( ) ( ) 123 x yx y x y x y II I I =++ Now, symmetry implies ( ) 1 0 xy I = and for each triangle xy x y I Ix y A ′′ =+ where, using the results of Sample Problem 9.6, 22 1 72 xy I bh =− for both triangles. Note that the sign of x y I ′ ′ is unchanged because the angles of
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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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