Martin, Louis Adolphe, 1880- · New York, J.Wiley & Sons, Inc.: [etc. etc.] · leaf 59
ted by twice the area of a ,/triangle whose base is the forceand whose altitude is the arm ofthe force. Thus in Fig. 36, 2 (areaof /\OAB) =Fd = moment of Fabout O. This geometrical representation will be used to proveVarignons Theorem of Moments:The sum of the moments of two forces, Fi and F2,… … about 0)=2A0AC. FORCES ACTING AT A SINGLE POINT 41 (moment of jFi)+(moment of ^2) = (moment of R),or 2A0AB + 2A0AD==2A0AC. Draw 5£ and Z»i?||0^. Then P>^, .,„,Wv AOABOAOAE and AOAD^C>=AOAF. (Why?) ^«^;^?--Prove AE = CF, by means of A^5£ and ADCF. Then AOAEOAOFC. . (Why?) ; , t^^ From this the…
Mechanics
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