Where x is the distance from a reference line, dw is an increment of weight, and W is the total weight of the object. ![]() Then the center of gravity can be determined from: cg * W = S x dw Weight Equation We will use the symbol S dw to denote the integration of a continuous function with respect to weight. If the mass of the object is not uniformly distributed, we must use calculus to determine center of gravity. This procedure works well for irregularly shaped objects that are hard to balance. The center of gravity is the point where the lines intersect. For Step 2, repeat the procedure from another point on the object You now have two lines drawn on the object which intersect. Draw a line on the object along the string. In Step 1, you hang the object from any point and you drop a weighted string from the same point.
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