Statics. Chapter 4. Free Body Diagram. Consider all the forces of the body. Equilibrium In two dimensions. Equilibrium in three dimensions. Statics. Chapter 5. Centroids By integration.
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By common practice, we refer to the centroidalaxis as the centroid but to keep the confusion down we will often speak of a x-centroid or a y-centroid referring to the coordinate along that axis where the centroidalaxis intersects the coordinate axis.
Double integration to find the first moment may be avoided by defining dA as a thin rectangle or strip.