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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 44

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 44
triangles ECe, EDc? are simi-lar ; and EC : DE=Ee : T)d..-. R^E^P^Drf;or R1(CH-EL)=P3.(DK-EL), 20 STATICS. or (R1-P3).EL=R1.CH-P3.DK, or Ra.EL=P1.AF+PaBGP3.DK, or R.-y=P,y,+P,ya-Psys> and so on for any other forces acting in directions opposite toP, and P2. 3°. When the point of application of… … H \G P1.CA=Pa.CB. By sim. triangles, P1.Ca=P2.B&; or P1(AF-CH)=Pa(CH+GB)> or (P1+P2).CH=P1.AF-P2.BG, or R.^P.y.-P.y: .*. The general formulae (a), (b), (c) will apply to all cases,by giving the proper signs to the forces and to the co-ordinatesof their points of application. These formulae…

Mechanics, Analytic

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