An elementary treatise on theoretical mechanics (1893)
Ziwet, Alexander, 1853-1928 · New York, London, Macmillan and Co. · leaf 32
r=%7rka\ Substituting these values into the equation of moments wefind 6 X = l—L M^~M^ S(Zrr-2) a = o.i6i6..a. 40. Proceeding to the determination of the centroids ofcurved surface-areas, we begin withthe special case of the homoge-neous area of a surface of revolu-tion. If the axis of x… … dS=Rdj>^dx^+dR^=R^i + [f{R)fdRd^. We have therefore for the centroid of the portion of the surfacecontained between two sections at right angles to the axis andtwo meridian planes {i.e. planes through the axis) including anangle 0: S=jJR ^Y+f^dRd<f> = c}>f\^VY+f^dR,S-x= P…
Mechanics, Analytic
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