707 Centroid of quarter ellipse by integration

Tags: 
centroid
vertical strip
centroid by integration
centroid of area
differential area
quarter ellipse

Problem 707
Determine the centroid of the quadrant of the ellipse shown in Fig. P-707. The equation of the ellipse is $ \dfrac{x^2}{a^2} + \dfrac{y^2}{b^2} = 1 $.
 

Centroid of quarter ellipse in the first quadrant

 

Solution 707

 
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