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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 118

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 118
But sin. (a+a) sin. <z cos. a + sin. a cos. a1 1 cos. a cos. a cot.a+cot. asin. a sin. a cot. a+ cot. a cot. ,3+cot./3 cot. y+cot. y &c. 153. Cor. 2. If the cord befixed at A and E, and the forcesP2, P3, P4, &c, be weights, thehorizontal tension of each por-tion of the cord is the same.… … horizontal tension of AB=P BC=P sin. a sin. a: sin. (a+a) cot. a + cot. asin. /3 sin. /3 P sin.(0+j3) cot. 0+cot. 0which, by Cor. 1, are all equal. T H E C O R D. 95 154. Cor. 3. Since the reactions of the points A and E equi-librate the resultant of all the weights, the lines AB, ED pro-duced,…

Mechanics, Analytic

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