Engineering Science 1022A/B/Y Lecture Notes - Lecture 20: Centroid
1 Jan 2019
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Found by considering the sum of the moments due to the particles about each of the coordinate axes in turn, and setting this equal to the moment due to the total weight about the same axis. Choose an appropriate differential element ( , , or ) located at a general point ( , ) If is expressed in terms of , use a vertical rectangular element or if is expressed in terms of , use a horizontal rectangular element. Determine the coordinates of the centroid of the element in terms of the general point. Express the differential element in terms of the differential thickness or as appropriate. Express all the variables and integral limits in the formula using either or depending on whether the differential element is in terms of or respectively, and integrate. The cog, com and the centroid for composite bodies can calculated by breaking them down into a set of simple shapes.
