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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 59

An illustration from An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids, 1849, leaf 59
.X,R sin. d=2.Y. 2.YTan. 0=^, (14) and R2=(2.X)2+(2.Y)2. (15) 72. Schol. 1. The equations (13), (14), and (15) determinethe magnitude of G and the magnitude and direction of R.To construct these insults, drawthrough the origin O the line OR,making the angle 6 with OX, torepresent R. Then put… … 36 STATICS. opposite direction to the resultant force; draw OA perpendic-ular to OR and equal to r, and AR parallel to OR. ThenRAOR represents the resultant couple. The two forces at O,being equal and opposite, may be removed, and we have thefinal resultant acting in AR, which makes the angle 6…

Mechanics, Analytic

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