726 Area enclosed by parabola and straigh line | Centroid of Composite Area

Problem 726
Locate the centroid of the shaded area enclosed by the curve y2 = ax and the straight line shown in Fig. P-726. Hint: Observe that the curve y2 = ax relative to the y-axis is of the form y = kx2 with respect to the x-axis.
 

Centroid of parabolic segment minus triangle

 

Solution 726

 
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