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 56
, &c. . . . Pn be any number offerees in the sameplane. Take the co-ordinate axes OX, OY in the plane of theforces, and let al, a2, a3 . . . an be the angles the forces makerespectively with OX, and (8,, j32, |33 . . . j3n the angles theymake with OY. Let s,,!/, be theco-ordinates OM,,MjAj of… … Y^P, cos. j3lf have for the components Xj—P, cos. a,,at the point Aj. Now apply at O, in OX, two equal and opposite forces, eachequal to X, ; this will not affect the system. Then, insteadof the single force X, at Alf we have Xl at A„ or N, and—X, at O, which together form a couple, and Xj at 0.…
Mechanics, Analytic
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