H 1.2 О Ө - 40° 55

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
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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
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
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 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
Transcribed Image Text:Н 2.2 2,1 A 4.5 B Ө= 40° 5.5 X
Solution
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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
Transcribed Image Text:Н 2.2 2,1 A 4.5 B Ө= 40° 5.5 X
Solution
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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
Transcribed Image Text:Н 2.2 2,1 A 4.5 B Ө= 40° 5.5 X
Solution
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SEE SOLUTION
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