Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
Related questions
Question
Solve for the area and the centroid (using 5 shapes only)
![Н
2.2
2,1
A
4.5
B
Ө= 40°
5.5
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4fd9176a-8b6f-4580-b033-0e75143cbe0f%2F96814a97-e69b-4099-9d09-574a6b60f29a%2Fv72vf04_processed.png&w=3840&q=75)
Transcribed Image Text:Н
2.2
2,1
A
4.5
B
Ө= 40°
5.5
X
![Computation of centroid and moment of inertia of the area
Element
Area, A
(Formula)
O
TOTAL
π(2)²
-π(1)²
9.4248
x
(Formula)
-1+2
or
3-2
1
ý
(Formula)
0
1
Ax
(Value)
12.5664
-3.1416
9.4248
Aỹ
(Value)
0.0000
-3.1416
-3.1416
(Formula)
TT (2)*
4
x(1)4
4
(Formula)
(2)*
4
(1)4
4
1x
(Value)
25.1327
-3.9270
21.2058
(Value)
12.5664
-3.9270
8.6394](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4fd9176a-8b6f-4580-b033-0e75143cbe0f%2F96814a97-e69b-4099-9d09-574a6b60f29a%2F4p4j94e_processed.png&w=3840&q=75)
Transcribed Image Text:Computation of centroid and moment of inertia of the area
Element
Area, A
(Formula)
O
TOTAL
π(2)²
-π(1)²
9.4248
x
(Formula)
-1+2
or
3-2
1
ý
(Formula)
0
1
Ax
(Value)
12.5664
-3.1416
9.4248
Aỹ
(Value)
0.0000
-3.1416
-3.1416
(Formula)
TT (2)*
4
x(1)4
4
(Formula)
(2)*
4
(1)4
4
1x
(Value)
25.1327
-3.9270
21.2058
(Value)
12.5664
-3.9270
8.6394
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
Solve for the Rectangular and Polar Moments of Inertia and Radii of gyration
![Н
2.2
2,1
A
4.5
B
Ө= 40°
5.5
X](https://content.bartleby.com/qna-images/question/4fd9176a-8b6f-4580-b033-0e75143cbe0f/8678c864-b9c9-465f-b10a-787a27d87c59/3ch73u8_thumbnail.png)
Transcribed Image Text:Н
2.2
2,1
A
4.5
B
Ө= 40°
5.5
X
Solution
Follow-up Question
Solve for the Moment of Intertia (about x=6)
![Н
2.2
2,1
A
4.5
B
Ө= 40°
5.5
X](https://content.bartleby.com/qna-images/question/4fd9176a-8b6f-4580-b033-0e75143cbe0f/1443cfaa-d236-4c58-bb5d-f64496bffabb/kvrhtfo_thumbnail.png)
Transcribed Image Text:Н
2.2
2,1
A
4.5
B
Ө= 40°
5.5
X
Solution
Follow-up Question
Get the centroid of the same figure (using 5 shapes only)
![Н
2.2
2,1
A
4.5
B
Ө= 40°
5.5
X](https://content.bartleby.com/qna-images/question/4fd9176a-8b6f-4580-b033-0e75143cbe0f/435f0a85-5850-487c-8884-8cc33098c63f/p83g044_thumbnail.png)
Transcribed Image Text:Н
2.2
2,1
A
4.5
B
Ө= 40°
5.5
X
Solution
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