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 35
cally, the force AF is equivalent to the componentsAB, AE, or to the components AB, AC, and AD. 28. Prop. If three forces are in equilibrium, they are propor-tional each to the sine of the angle made by the directions of theother two. By Art. 22 and figure, P : Q : R=AB : BC and by trig., =sin. BCA… … :CA » : sin. CAB: sin. ABC; : sin. CAB: i sin. ABC; : sin. EAB: sin. BAD; : sin. PR : sin. PQ. 12 STATICS. By trig, we have, from Jig., Art. 22, AC2=AB2+BC2-2AB.BC cos. ABC,and cos. ABC= —cos. BAD= —cos. 0. R2=P2+Q2+2PQ cos. 6. 30. Def. The moment of a force about any point is the prod-uct of the…
Mechanics, Analytic
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
![An illustration from [Electric engineering.] (1902)](https://img.insideoutlibrary.com/img/200/ia-electricengineer02inte-200-92.webp)
