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 53
e will be equal tothe algebraic sum of the axes of the component couples. Schol. The composition of couples in the same or parallelplanes, by means of their axes, is therefore analogous to thecomposition of conspiring forces. 65. Prop. To find the resultant of two couples in differentplanes… … same length, the momentsof the couples remainingthe same. Let AB be thiscommon arm, and PABP,QABQ the couples. Com-plete the parallelogramson the lines representingP and Q, and the diago-nals will represent theirresultants R, which maybe substituted for them.Hence we have the result-ant couple RABR…
Mechanics, Analytic
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