The corners of a triangle are at (4, 4), (10, 8), and (12, 4). The diameter of a semi-circle ends at (4, 4) and (12, 4) and the semi-circle touches the x-axis. Find the distance of the centroid of the composite figure from the x-axis.

The corners of a triangle are at (4, 4), (10, 8), and (12, 4). The diameter of a semi-circle ends at (4, 4) and (12, 4) and the semi-circle touches the x-axis. Find the distance of the centroid of the composite figure from the x-axis.

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 8.123RP: The center of gravity of the plane wire figure is located at G. Determine the lengths a and b.

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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

The corners of a triangle are at (4, 4), (10, 8), and (12, 4). The diameter of a semi-circle ends at (4, 4) and (12, 4) and the semi-circle touches the x-axis. Find
the distance of the centroid of the composite figure from the x-axis.
2.3
3.48
4.24
5.33

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