| John Henry Pratt - Celestial mechanics - 1836 - 672 pages
...a or whose moment = P. a + Q . b + R . c + Hence the moment of the resultant couple is equal to the of the moments of the original couples. If one of the couples, as (,$", »S"), act in a direction opposite to the couple (P, P), then the force at each extremity of... | |
| John Henry Pratt - Mechanics, Analytic - 1841 - 644 pages
...be a couple of which the force = P. - + Q.- + R.- + and arm = a, aaa or of which the moment =P.a+Qb Hence the moment of the resultant couple is equal...of the original couples. If one of the couples, as (S, S), act in a direction opposite to the couple (P, P), then the force at each extremity of the arm... | |
| John Henry Pratt - Architecture - 1842 - 674 pages
...couple of which the force = P.- + Q.- + R. - + and arm = a, abc aaa or of which the moment = Pa + Qb Hence the moment of the resultant couple is equal...of the original couples. If one of the couples, as (S, S), act in a direction opposite to the couple (P, P), then the force at each extremity of the arm... | |
| Samuel Earnshaw - Statics - 1845 - 290 pages
...P.) . b = Flal + F2a2 + F2a2 + ... + F„aa = the sum of the moments of the original couples. Whence, the moment of the resultant couple is equal to the sum of the moments of the original couples. The reader will be careful to remark, that if any of the couples are of a negative character, their... | |
| Isaac Todhunter - Statics - 1853 - 362 pages
...couple of which the force equals aaa and arm = a, or of which the moment equals Pa + Qb + B.c+ ......... Hence, the moment of the resultant couple is equal...the original couples. If one of the couples, as Q, $, act in a direction opposite to the couple P, P, then the force at each extremity of the arm of the... | |
| Bartholomew Price - Calculus - 1856 - 664 pages
...so that the moment of the resultant couple is RT — p/r + P2'r + ... + rn'r = 2.vp ; (30) that is, the moment of the resultant couple is equal to the sum of the moments of the several component couples. If some of the couples are negative, the forces belonging... | |
| W. G. Willson - Dynamics - 1874 - 294 pages
...sufficient, conditions of equilibrium are three in number : SPcos o = 0 (1) SPsin a = 0 (2) 0 ...(8) -. The moment of the resultant couple is equal to the sum of the moments of the forces round any point 0 in their plane ; hence the above equations of condition may... | |
| Edward Albert Bowser - Kinematics - 1884 - 550 pages
...equivalent couples may have like or unlike signs. \ the other couples its sign will be negative, and the force at each extremity of the arm of the resultant couple will be Hence the moment of the resultant couple is equal to the algebraic sum of the moments of the component... | |
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