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An elementary treatise on theoretical mechanics (1893)

Ziwet, Alexander, 1853-1928 · New York, London, Macmillan and Co. · leaf 28

An illustration from An elementary treatise on theoretical mechanics, 1893, leaf 28
7),it may be noticed that the figure can be divided into rectilinearelements by lines drawn parallel to the parallel sides of thetrapezoid. Every such element has its centroid at its middlepoint; the locus of all these points is the so-called median ; andthe centroid G of the trapezoid must lie on… … into two triangles by the diagonal BC and remember that thedistance of the centroid of a triangle from its base is equal toone-third of its height; then taking moments with respect to thetwo parallel sides AB = a, CD = b, denoting the height of thetrapezoid by k, and the distances of G from a and…

Mechanics, Analytic

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