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
-ant couple RABR equiva-lent to the component couples PABP and QABQ. 66. Cor. The diagonal of the parallelogram, constructed onthe lines representing the axes of the component couples, willrepresent the axis of a couple equivalent to them. Let OK and OL be theaxes of the couples, and 6 theangle… … ABv,P2+Q2+2PQcos. 0, .(since OK: = VP9.AB9 + Qa.AB9+2P.ABxQ.ABcos.0;P.AB, &c), = v,OK2+OL2+20K.OL cos. d,=OM. And OK, OL being respectively perpendicular to the planesof the component couples, OM will be perpendicular to theresultant couple. 67. Schol. The above is analogous to the…
Mechanics, Analytic
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