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Text-book of mechanics (1906)

Martin, Louis Adolphe, 1880- · New York, J.Wiley & Sons, Inc.: [etc. etc.] · leaf 33

An illustration from Text-book of mechanics, 1906, leaf 33
d OB represents in direc- 13 14 ANALYTICAL STATICS tion and magnitude the resultant of the forces OA andOB, or the single force OC may replace the forces OAand OB without affecting the state of the particle O. If we assume a force OC (Fig. 2) equal in magnitude,but opposite in direction to OC,… … forces end to end, being careful to preserve their lengthsand direction, and it will be found that a closed triangleresults. (Prove this by Geometry.) Therefore, // three forces impressed on a particle are in equilibrium,they can he represented in direction and magnitude by thesides of any triangle…

Mechanics

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