Determine the coordinates of the centroid of the shaded area. 20 60 y 20 -3520 35 135 45 50 40 Dimensions in millimeters

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 8.36P: Determine the centroidal coordinates of the plane region by numerical integration.
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Determine the coordinates of the centroid of the shaded area.
20
60
y
35
20
201
45
135
50
40
Dimensions in millimeters
Transcribed Image Text:Determine the coordinates of the centroid of the shaded area. 20 60 y 35 20 201 45 135 50 40 Dimensions in millimeters
Part 1
Break the shaded area into the five different areas shown. Find the area and the x- and y-coordinates of the centroid for each
piece. Enter positive numbers for all answers.
Answers:
A₁
y
A₂
A3
=
A4
S
As
"
i
i
D
mm²
mm²
mm²
mm²
X
X₁
X2
=
X3
"
mm² X5
=
i
Mi
1
2
4
3
زرا
5
mm
mm
mm
mm
mm
Y₁
Y₂
Y3
Y4
Y5
||
i
Mi
i
i
mm
mm
mm
mm
mm
Transcribed Image Text:Part 1 Break the shaded area into the five different areas shown. Find the area and the x- and y-coordinates of the centroid for each piece. Enter positive numbers for all answers. Answers: A₁ y A₂ A3 = A4 S As " i i D mm² mm² mm² mm² X X₁ X2 = X3 " mm² X5 = i Mi 1 2 4 3 زرا 5 mm mm mm mm mm Y₁ Y₂ Y3 Y4 Y5 || i Mi i i mm mm mm mm mm
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