The centroid of the shaded area in the figure shown is required to lie in the Y-axis. Determine the distance b that will fulfill this requirement. 4cm бст 8cm b

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Q: Determine the y-coordinate of the centroid of the area by direct integration.

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Q: Find the centroid for the shaded area. r=5m r=3m 6m

A: Solution:

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.