An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1868)
Smith, Augustus W. (Augustus William), 1802-1866 · New York : Harper · leaf 55
axes must equal theresolved parts of the forces in the same directions. .-. R cos. 0=2.X, (3) R sin. 0=2.Y. (4) 2.Y Hence Tan. 6=-p^-. (5) Also, R2. cos.20+^sin.20=R2=(2.X)2+(Z.Y)2; or R=V(2.X)2+(2.Y)2. (6) Equations (1) and (2) give the values of 2.X and 2.Y, bywhich we obtain 0 from (5) and R… … nents along either axis are involved in the trigonometrical ex-pressions of their values, (1) and(2). Assume the directions OXand OY positive, and OX, OYnegative. The components Ox,,Oy1 of Pj are positive; theirvalues, Pj cos. «,, Pj cos. (3ltwill also be positive, since thecosines of angles in the…
Mechanics, Analytic
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