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A certain two f dA = 9 in² fæ dA = 27 in3 SydA = 18 in³ S x² dA = 54 in 4 faydA = 49.5 in 4 fy² dA = 85.5 in4 y2 where dA is a differential area element, dx"dy. Find the following properties of the shape Centroid= (X, Y)=([ in. The Area Moments of Intertia about axes parallel to the x and y axes through the centroid. in4 in4 dimensional shape has the following integrals ly¹ = Product of Inertia, lx'y' = Polar Moment of Inertia, J(x,y) = in4 ] in 4

A certain two f dA = 9 in² fæ dA = 27 in3 SydA = 18 in³ S x² dA = 54 in 4 faydA = 49.5 in 4 fy² dA = 85.5 in4 y2 where dA is a differential area element, dx"dy. Find the following properties of the shape Centroid= (X, Y)=([ in. The Area Moments of Intertia about axes parallel to the x and y axes through the centroid. in4 in4 dimensional shape has the following integrals ly¹ = Product of Inertia, lx'y' = Polar Moment of Inertia, J(x,y) = in4 ] in 4

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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A certain two dimensional shape has the following integrals S dA = 9 in² fx dA SydA = 18 in³ f x² dA = 54 in 4 faydA = 49.5 in 4 fy² dA= 85.5 in 4 where dA is a differential area element, dx dy. Find the following properties of the shape Centroid = (X, Y)= ([ ) in. The Area Moments of Intertia about axes parallel to the x and y axes through the centroid. x¹ = [ in4 = 27 in 3 in4 ly¹ = [ Product of Inertia, Ix'y' =[ Polar Moment of Inertia, J(x,y) = in4 in4
Transcribed Image Text:A certain two dimensional shape has the following integrals S dA = 9 in² fx dA SydA = 18 in³ f x² dA = 54 in 4 faydA = 49.5 in 4 fy² dA= 85.5 in 4 where dA is a differential area element, dx dy. Find the following properties of the shape Centroid = (X, Y)= ([ ) in. The Area Moments of Intertia about axes parallel to the x and y axes through the centroid. x¹ = [ in4 = 27 in 3 in4 ly¹ = [ Product of Inertia, Ix'y' =[ Polar Moment of Inertia, J(x,y) = in4 in4
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integral subscript blank superscript blank d A space equals space 9 space i n squared integral subscript blank superscript blank x d A space equals space 27 space i n cubed integral subscript blank superscript blank y d A space equals space 18 space i n cubed integral subscript blank superscript blank x squared d A space equals space 54 space i n to the power of 4 integral subscript blank superscript blank x y space d A space equals space 49.5 space i n to the power of 4 integral subscript blank superscript blank y squared d A space equals 85.5 space space space i n to the power of 4

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