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In this case, not only the weight but the first moment of an element of a quantity about an origin is defined d as the product of its position vector with the element physical quantity itself.

With the concept of first moment, we define the centroid centre of mass and centre of gravity.

Center of mass and Center of Gravity

If a concentrated weight of W is put at a distance of 1/2 L from point A, then the moment of gravitational pull in uniform rod as well as the new system will be same.