A certain two dimensional shape has the following integrals f dA = 4.5 in² fx dA fyd A S x² dA 13.5 in ³ 13.5 in ³ = 42.75 in4 fxy dA = 39.375 in 4 fy² dA = 42.75 in 4 where dA is a differential area element, dx*dy. Find the following properties of the shape Centroid = (X,Y)= ( 3 3) in. The Area Moments of Intertia about axes parallel to the x and y axes through the centroid. |x' = in4 in4 ly¹ = [ Product of Inertia, Ix'y' = Polar Moment of Inertia, J(x',y') 4
A certain two dimensional shape has the following integrals f dA = 4.5 in² fx dA fyd A S x² dA 13.5 in ³ 13.5 in ³ = 42.75 in4 fxy dA = 39.375 in 4 fy² dA = 42.75 in 4 where dA is a differential area element, dx*dy. Find the following properties of the shape Centroid = (X,Y)= ( 3 3) in. The Area Moments of Intertia about axes parallel to the x and y axes through the centroid. |x' = in4 in4 ly¹ = [ Product of Inertia, Ix'y' = Polar Moment of Inertia, J(x',y') 4
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:A certain two dimensional shape has the following integrals
S dA
fx dA
3
13.5 in
fydA = 13.5 in³
fx² dA = 42.75 in 4
fx y d A
= 4.5 in²
AMERION
4
dA = 39.375 in
fy² dA = 42.75 in
where dA is a differential area element, dx*dy.
Find the following properties of the shape
Centroid = (X, Y) = ([
3
3) in.
The Area Moments of Intertia about axes parallel
to the x and y axes through the centroid.
|x' =
in4
4
ly' =|
Product of Inertia, Ix'y' i
MEN
Polar Moment of Inertia, J(x'y') F
in
4
4
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