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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 99

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 99
rizon and the weight of a heavy body W, to determine whatforce or weight Px acting in the given direction WM will besufficient to sustain W on the line. The body W is kept upon the line by the action of the force Y Pa in the directionWM, and its weightacting in the directionWE. The reaction ofthe… … 76 STATICS. Hence (20) becomes P, cos. (e+z) + (P1 sin. (e+z)-W) tan. i=0; or, expanding and reducing, Pa cos. e=Wsin. i, Wsin.i x or P,= . (a) 1 cos. e v If the reaction of the line be required, resolve all the forceshorizontally (8). This gives N. cos. (90° + i)+P1 cos. (e+i)=-Q. ... H^ w 1 sm. z…

Mechanics, Analytic

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