That is why most of the time, engineers will instead use the method of composite parts or computer tools. If you have chosen to adopt this textbook for use in your course, please accept this book as your complimentary desk copy. For more complex shapes, however, determining these equations and then integrating these equations can become very time-consuming. Using the first moment integral and the equations shown above, we can theoretically find the centroid of any shape as long as we can write out equations to describe the height and width at any \(x\) or \(y\) value respectively. \): The procedure for calculating the \(y\) coordinate of the centroid.
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