How can we determine the location of the centroid?
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 8.50P
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Question
How can we determine the location of the centroid?
Expert Solution
Step 1
It’s the average of all the points of an object, this is the position where an object can be balanced.
Step 2
Let us consider a surface as shown in figure. Small area ΔA at point A, and C is the point centroid
From equilibrium of the surface we can write
Therefore for centroid at X coordinate we can write
Therefore for centroid at Y coordinate we can write
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