Find the moments of inertia of the shaded shape about the given centroidal x-axis (Ix) and centroidal y-axis (I). The equations for a single rectangle's moment of inertia about its own centroidal axis is given below. T h + y C A = bh Rectangular area X 1₂ = 1/2bh³ I₂ = 1/2bh³ 1 in 2 in 2 in y 1 in 2 in x' 2.375 in X

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 9.8P: Using integration, compute the polar moment of inertia about point O for the circular sector. Check...
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Find the moments of inertia of the shaded shape
about the given centroidal x-axis (Ix) and centroidal y-axis (I).
The equations for a single rectangle's moment of inertia about
its own centroidal axis is given below.
4
h
+
y
с
A = bh
Rectangular area
X
I₂ = 1/2bh³
bh³
Iy
=
1 in
2 in
2 in
y
1 in
2 in
y'
x'
2.375 in
X
Transcribed Image Text:Find the moments of inertia of the shaded shape about the given centroidal x-axis (Ix) and centroidal y-axis (I). The equations for a single rectangle's moment of inertia about its own centroidal axis is given below. 4 h + y с A = bh Rectangular area X I₂ = 1/2bh³ bh³ Iy = 1 in 2 in 2 in y 1 in 2 in y' x' 2.375 in X
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