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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 134

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 134
h thelonger arm of the steelyard must be graduated. Let G be the center of gravity of the beam AB and w itsweight. Put OA=p, 00=^, OG=g, and taking momentsabout the fulcrum O, in case of equilibrium we haveWp—wg—Pp1=0.wg W» Taking Ox, a fourth proportional to P, w, and g, we have Hence the distance… … 182. This balance is represented bythe annexed figure, where ABC is thebent lever turning about a pivot at B.A scale (E) hangs from A, and at C anindex points to some division on thegraduated arc GCF. 183. Prop. To determine the principle of graduation in thebent lever balance. Let g be the center…

Mechanics, Analytic

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