1. Locate the centroid of line ABC B A 250 mm 700 75 mm

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter8: Centroids And Distributed Loads
Section: Chapter Questions
Problem 8.35P: Use numerical integration to locate the centroid of the symmetric plane
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With clear concise answer. Round off to 4 decimals thank u. Please answer in table same with the example below. Thank u please refer to example with red colored text.

2. Locate the centroid of the shaded area
6 in.
3 in
6 in.
Area (A), in2
(6)(3) = 9
(6) (6) = 36
(6)(9) = 27
AT = 72
6 in
Shape
For x
Σαχ
x =
=
AT
x= -1 in
-72 in ³
72 in²
Example
x, in
y, in
Ax, in ³
Ay, in ³
3
= -2
-18
63
3+6=7
-108
108
54
ΣA, = -72
6
3
6
613
||
: 2
612
11
3
(9) = 6
For y
Σαγ
y =
=
AT
y = 4.625 in
333 in ³
72 in²
162
ΣΑ, = 333
Transcribed Image Text:2. Locate the centroid of the shaded area 6 in. 3 in 6 in. Area (A), in2 (6)(3) = 9 (6) (6) = 36 (6)(9) = 27 AT = 72 6 in Shape For x Σαχ x = = AT x= -1 in -72 in ³ 72 in² Example x, in y, in Ax, in ³ Ay, in ³ 3 = -2 -18 63 3+6=7 -108 108 54 ΣA, = -72 6 3 6 613 || : 2 612 11 3 (9) = 6 For y Σαγ y = = AT y = 4.625 in 333 in ³ 72 in² 162 ΣΑ, = 333
1. Locate the centroid of line ABC
+
B
75 mm
A
250 mm
40°
Transcribed Image Text:1. Locate the centroid of line ABC + B 75 mm A 250 mm 40°
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