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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 123

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 123
W w — i (2- I) -2.+ 2 w ■(- 1 ~2 Cor. 2. If the weights of the pulleys be neglected, WP= * or YV=2W.P. 162. Prop. Required the ?~elation of the power to the weightin the third system of pulleys. In this system each cord is attached to theweight, and the number of movable pulleys is oneless than the… … &c, we have t2=2t1+w1=2¥+w1, t3=2t2+w2=2*~P+2wl+w2f t4=2t3+w3=25¥+22w1+2w2+w5. And if there be n cords, tn=2-1V+2-hv1+2n-*w2 + &c 2wn_,+wn_1. ButW=«1+^+^3 + ,&c tn =P(l+2+22+23+,&c....2-1)+i^1(l+2+22+,&c. . . 2-2)+w;2(l+2+22+,&c 2-3)+,&c. 100 STATICS. =…

Mechanics, Analytic

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