. An elementary treatise of mechanical philosophy, wirtten for the use of the undergraduate students of the University of Dublin. t 7n, and let the distances fromthis point be expressed by the numbers —3, —1, +4, •\-G,+ 7: the distances on one side of this point being deemedaffirmative, as mc, md, me-, and those on the other side ne-gative, as mb, ma. The same distinction is to be madeamong the forces themselves, according as they tend to oneside or the other, Tif the line os. In the above scheme all theforces are supposed to act in the same sense, and thereforeto be affected with the same sig
. An elementary treatise of mechanical philosophy, wirtten for the use of the undergraduate students of the University of Dublin. t 7n, and let the distances fromthis point be expressed by the numbers —3, —1, +4, •\-G,+ 7: the distances on one side of this point being deemedaffirmative, as mc, md, me-, and those on the other side ne-gative, as mb, ma. The same distinction is to be madeamong the forces themselves, according as they tend to oneside or the other, Tif the line os. In the above scheme all theforces are supposed to act in the same sense, and thereforeto be affected with the same sign. Then, for the distance ofthe centre of parallel forces from the point m, the forces are PARALLEL FORCES. 33 to be multiplied, severally, into the distances of their pointsof application from the point w?, and the sum of these pro-ducts is to be divided by the sum of the forces. In this in-stance we shall have 32_l_60-f 14—4—15 87^ = -¥j = ^=+ Wherefore, taking three units of the line from the point m,and in the direction of the affirmative values, we have thepoint g, which is the centre of the parallel 3i STATICS.—SECT. IIT. SECTION III. OF EQUAL AND PARALLEL FORCES ACTING ON AN INVARIABLE SYS-TEM, TOWARDS OPPOSITE SIDES OF A LINE TRANSVERSE TOTHEIR DIRECTIONS, 1. When two parallel forces act towards opposite sidesof a line transverse to their directions, those directions,though not immediately opposite, may be said to be con-trary. In last section, it was shown that two such forces, whenequal, are incapable of being equilibrated by a single is now to be shown how they are equilibrated, and howtransformed. To avoid circumlocution, a pair of equal pa-rallel and contrary forces shall be simply named a pair; andin all transformations of a pair of such forces, it is to be un-derstood that the intensity of the forces, and the perpen-dicular distance between the lines of direction, remain un-changed, unless when the contrary is expressly stated. A pa
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Keywords: ., bookcentury1800, bookide00leme, booksubjectdynamics, bookyear1835
