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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 58

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 58
Y1=P1 cos. j3j, at the point A,. 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 Xx at A15 we have Xa at A1? or N, and— Xj at O, which together form a couple, and Xx at O. Thatis, for the force Xj at A,, we… … ANALYTICAL STATICS. 35 This last couple will be negative, since it tends to produce ro-tation in the contrary direction to that of the other. By pursuing the same course with each of the other forces.we should obviously have acting at O, in OX, a sum of forces X1+X2+X3+,&c Xn=S.X, (9) and at O,…

Mechanics, Analytic

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