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 146
e the point wherethe cords produced wouldmeet at the first positionof the pulley, when P andW are the positions of thepower and weight. Let P be displaced toP, when the weight israised to W, or the pointf of meeting of the cord israised to A. Draw thecircular arcs Am, An withcenters B and C. When… … P.2AA. cos.W or =2 cos. -W.AABAC 0, P 2 as found in Art. 158. Scholium. In the preceding propositions, the expressionP.PP=W.WW, PRINCIPLE OF VIRTUAL VELOCITIES, ETC. 123 WWP or PF ~w explains the principle that, in using any machine, what wegain in power we lose in time. For, in order that W may…
Mechanics, Analytic
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