The plane region is bounded by a semicircle of radius R and a parabola of height h. Determine the relationship between R and h for which the centroid of the region is at C. Use the method of composite areas.

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Q: More than one answer is possible

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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.