Required: • explain what is location of centroid by integration is all about. • explain the difference and the meaning of centroid of an area and centroid of a Line.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Required:
• explain what is location of centroid by integration is all about.
• explain the difference and the meaning of centroid of an area and centroid
of a Line.
Location of Centroid by Integration
Since the centroid is the average position of the points in a figure, integration is the process used
to sum up the infinite number of points a figure has. Integration is also equivalent to summing up
finite elements. If an area of an element had been expressed as the differential dA, which is a small
portion of the whole area A, the equations to determine the centroid of an area would be:
Až = S xdA , for centroid with respect to x – axis and
Aỹ = SydA, for centroid with respect to y – axis
%3D
Moreover, if the centroid of a line is to be determined, the equations to be used are:
Lx = S xdL , for centroid with respect to x – axis and
Lỹ = SydL , for centroid with respect to y – axis
Y
Y
A
EDC
Centroid of an Area
Centroid of a Line
Transcribed Image Text:Required: • explain what is location of centroid by integration is all about. • explain the difference and the meaning of centroid of an area and centroid of a Line. Location of Centroid by Integration Since the centroid is the average position of the points in a figure, integration is the process used to sum up the infinite number of points a figure has. Integration is also equivalent to summing up finite elements. If an area of an element had been expressed as the differential dA, which is a small portion of the whole area A, the equations to determine the centroid of an area would be: Až = S xdA , for centroid with respect to x – axis and Aỹ = SydA, for centroid with respect to y – axis %3D Moreover, if the centroid of a line is to be determined, the equations to be used are: Lx = S xdL , for centroid with respect to x – axis and Lỹ = SydL , for centroid with respect to y – axis Y Y A EDC Centroid of an Area Centroid of a Line
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