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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 90

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 90
J6 \ ( A /_ J\ B \y y f V and cos. a- 2AC.BC (R-riy + (R-r2y-(ri+r2y , which gives a. 2(R-r1)(R-r2) Then (19) mj1.CM-^2CN=0, or rJ.CM-rJ.CN^O; sincethe weights of the spheres are as the cubes of their radii.Substituting the values of CM=(R-r1) cos. (180-(a+0)),and CN=(R—r2) cos. 0, expanding and… … Let ACB be the beam, resting at A against the wall ADE and upon the peg C. The center of gravity g, when there is an equilibrium,will evidently be at somepoint beyond C from A. LetKg—a, DC=o, w= the weightof the beam acting at gf R=the reaction of the wall per-pendicular to itself at A, andR= the…

Mechanics, Analytic

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