The outlines of physics: an elementary text-book . forces and its size may be found bjmeans of the principle of the parallelogram of forces;viz.: The resultant of two forces which act upon a single pointis found by completing the parallelogram of which the forcesin question form adjacent sides, and drawing the diagonalwhich passes through the point of application. This diago-nal represents, both as to size and direction, the resultantof the two forces. Example. — In Fig. 8, AB and A O are two forces act-ing upon the point A. They form adjacent sides of aparallelogram which may be completed by
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The outlines of physics: an elementary text-book . forces and its size may be found bjmeans of the principle of the parallelogram of forces;viz.: The resultant of two forces which act upon a single pointis found by completing the parallelogram of which the forcesin question form adjacent sides, and drawing the diagonalwhich passes through the point of application. This diago-nal represents, both as to size and direction, the resultantof the two forces. Example. — In Fig. 8, AB and A O are two forces act-ing upon the point A. They form adjacent sides of aparallelogram which may be completed by drawing BBparallel to AO, and CM parallel to AB, until they cut oneanother at M. If A and jB be joined, we shall have thediagonal through A, and this line represents by its size and direction the result-ant of AB and A 0. 15. Useful Extensionsof the Parallelogram ofForces. — (1) Any num-ber of forces acting upona single point may becombined, and their re-sultant may be found bytaking them pairwisesuccessively until onlya single pair remains.. Fig. 9. TBE LAWS OF MOTION 13 The resultant of this pair of forces will be the resultant ofall the original forces. Example. — Let AB, AC, AD, AE (Fig. 9), be forces.AB and J. (7 combined furnish the resultant AR^ (Fig. 9).AR^ may now be combined with AD, giving a resultantAR-^-y, and this in turn taken with AE, gives AR-^^^ whichis the resultant of all the original forces. (2) The only lines in the diagram (Fig. 9) which areessential to the construction are AB, BR^, R^R^^ R^^R^^^ Instead of drawing the various parallelograms and theirdiagonals, we may, knowing the sizes and directions of theforces AB, AG, AD, A and AE (Fig. 9), drawAB as in Fig. 10, thenBR^ from B (hav-ing the direction andlength of AC), R^R^^from i2j with the direc-tion and length of AD, and -Bii-Bju from i^uwith the direction and length of AE. If A and iJjjj bethen joined, a polygon will be formed (called the polygonof forces). The side AR^ will be the resultant of