Answered: 5.43 Determine by direct integration…

5.43 Determine by direct integration the centroid of the area shown. Express your answer in terms of a and b. y x = ky2 kąta 2 8/2 b 22 b X

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 8.34P: Determine the ratio a/b for which the centroid of the composite curve will be located at point O.

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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

5.43 Determine by direct integration the centroid of the area shown. Express your answer in terms of a
and b.
y
x = ky2
kg
2
8/2
a
b
2
b
2

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