R6-2. Locate the centroid y of the area. -ту са

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 8.71P
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R6-2. Locate the centroid y of the area.
-ту са
Transcribed Image Text:R6-2. Locate the centroid y of the area. -ту са
Expert Solution
Step 1

Given data,

  • Equation of curved line, xy = c2.

Mechanical Engineering homework question answer, step 1, image 1

The area of differential element is,

dA=y×dx=c2xdx

The total area under the curve is,

A=AdA=abc2xdx=c2lnxab=c2lnba

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