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An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1868)

Smith, Augustus W. (Augustus William), 1802-1866 · New York : Harper · leaf 141

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1868, leaf 141
ity of W, and negative. Hence (Art. 81), P.PP-W.WW=0,or P.arcAA-W.arcBB=0, or P.AC.z.ACA-W.BC.A.BCB=0. P.AC-W.BC: W AC° °r P =BC the condition of equilibrium found in Art. 138. 192. Prop. The principle of virtual velocities obtains in apair of toothed wheels. Let the circles inthe annexed… … Ps displacement =PP=AC.^D1C,D=AC Ws displacement =WW =CB.z.D2CD=CB By the principle of virtual velocities,P.PP-W.WW =0, arcD.D CD arc D3D ~CD~ ilS STATICS. or or RAC,i^-W.CB.^^=0, CD CD „AC TirCB p w ■—=0 DC CD W AC CD ■ W CD ; and when AC = BC, P BCCDas found in Art. 143. P ~CD 193. Pkop. TTie…

Mechanics, Analytic

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