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

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.26P: A circular region of radius R/2 is cut out from the circular region of radius R as shown. For what...
icon
Related questions
Question
Will upvote!
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
Expert Solution
steps

Step by step

Solved in 6 steps with 19 images

Blurred answer
Knowledge Booster
Atomic Diffusion in Solids
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
International Edition---engineering Mechanics: St…
International Edition---engineering Mechanics: St…
Mechanical Engineering
ISBN:
9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
Publisher:
CENGAGE L