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 146
e principle of virtual velocities obtains in thesingle movable pulley with cords inclined. Let A be 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… … PV=A?n+An- BAC :2AA cos. — -, WW=AA. The equation of virtual velocities is RPP-W.WW=0, which becomes BAC P.2AA. cos. or W-p=2 cos. -W.AABAC 0, as found in Art. 158. Scholium. In the preceding propositions, the expressionP.PP=W.WW, PRINCIPLE OF VIRTUAL VELOCITIES, ETC. 123 or pp/ -w, explains the…
Mechanics, Analytic
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