moment of inertia about the indicated x and y axes
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter14: Computational Engineering Tools Electronic Spreadsheets
Section: Chapter Questions
Problem 24P
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Question
Find the moment of inertia about the indicated x and y axes for the shaded area shown.
(KINDLY FOLLOW THE FORMAT OF SOLUTION PROVIDED)
Transcribed Image Text:Y.
I
15 cm
10 cm
·X
Transcribed Image Text:3. Find the moment of inertia about the indicated
Y axis for the shaded area shown.
Solutions:
The area can be divided into three geometric shapes
(triangle, square and a quarter circle). The quarter
circle has a negative area since it is not part of the
shaded area.
Parts
Area, in²
Triangle
1
(6)(4) = 12
I, in
(4)(6)³ = 24
36
Square
1
17 (4)(4)³ = 21.33
-0.055(4)*=-14.08
Quarter circle
31.25
1, = ΣΙ, + ΣΑd2
ly
Σ
(4) (4) = 16
TL
= 31.25 +349.22
= 380.47 in*
= -12.57
d, in
4
8
10-(0.424) (4)=
8.304
Ad², in
192
1024
-866.78
349.22
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