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An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)

Smith, Augustus William, 1802-1866 · New York, Harper · leaf 36

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 36
nts falls without the anglemade by the forces. Let AB, AC represent the twoforces P and Q, and AD the diago-nal of the parallelogram constructedon AB and AC, their resultant R.H Take any point, O, for the origin ofmoments ; join OA and draw AG per-pendicular to OA ; draw 01, Om, Onrespectively… … G AF : AC -Om : OA, or AF: AG : AD=0?i : OA, or AG: OAAC.OmOXAP.Otz OA But the triangles ABE and CDH being equal, AE=CH=FG..-. AE+AF=AG,or AB.OZ+AC.Om=AD.07i, or designating 01, Om, and On byp, q, and r respectively, V.p+Q.q=R.r. 2°. When the origin of moments is taken within the angle. CONCURRING…

Mechanics, Analytic

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