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The elements of the mechanics of materials and of power transmission (1911)

King, William Richard, 1852- · New York, J. Wiley & sons; [etc., etc.] · leaf 21

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3 L CENTER OF GRAVITY II Example III. — A square is divided into four equal trianglesby diagonals intersecting at 0; if one triangle be removed, findthe center of gravity of the figure formedby the three remaining triangles. Let w denote the weight of each of theremaining triangles, and let a… … Fig. 12. - X - = - by Example I.2 3 3 Then if x denotes the distance of the center of gravity of the three remaining triangles from 0, we shallhave X = Pp + Qq 2W Xo ^wX 3 = ^. 9 P -\-Q 2W -\-w That is, the required center of gravity is distant one-ninth the side of the square from the center of…

Mechanics, Applied · Power transmission

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