5. Calculate the centroid of a wire rod bent into the shape of an arc defined by x(y) = 3y from the origin to point (x,y) = (12,4). Hint: follow the procedure outline in Example 9.1 and SHOW EVERY DETAIL of your work.

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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.