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" ... the sum of the moments of the forces which tend to turn the body in one direction must be equal to the sum of the moments of those which tend to turn it in the opposite direction about the same axis. "
Elements of Mechanics and Machine Design: A Treatise on Theoretical ... - Page 22
edited by - 1923 - 291 pages
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An Elementary Treatise on Mechanics: Comprehending the Doctrine of ...

John Farrar - Dynamics - 1825 - 492 pages
...lever in the contrary direction ; and the resultant of IL and IK', that is, of p, q, r, is IM. •i one direction, must be equal to the sum of the moments of those which tend lo turn it in the opposite direction ; "which may be expressed generally, by taking with contrary signs...
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An Elementary Treatise on Mechanics: Comprehending the Doctrine of ...

John Farrar - Dynamics - 1825 - 476 pages
...direction of the resultant, the moment of this force would be zero ; but, since it is equal to the sum of the moments of the forces which tend to turn the system in one direction, minus the sum of the forces tending to turn it in the opposite direction,...
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Natural Philosophy: With an Explanation of Scientific Terms, and ..., Volume 1

Physics - 1829 - 500 pages
...conceived to be concentrated at its centre of gravity F. (12.) It is scarcely necessary to say, that if the sum of the moments of the forces which tend to turn the body round in one direction, be greater than the sum of the moments of the forces which tend to turn it...
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The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837 - 226 pages
...moment. PROP. X. If any number of forces act upon a lever, and tend to turn it opposite ways, and if the sum of the moments of the forces which tend to turn the lever one way be equal to the sum of the moments of the forces which tend to turn it the other way,...
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Elements of Natural Philosophy, Volume 1

William Holms Chambers Bartlett - Mechanics - 1850 - 662 pages
...the projections of the farces on planes perpendicular to the axis. The sign of the moments of those forces which tend to turn the body in one direction, must be different from the sign of those which tend to turn it in an opposite direction ; in other words, if...
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Elements of Natural Philosophy, Volume 2

William Holms Chambers Bartlett - Astronomy - 1850 - 640 pages
...the projections of the forces on planes perpendicular to the axis. The sign of the moments of those forces which tend to turn the body in one direction, must be different from the sign of those which tend to turn it in an opposite direction ; in other words, if...
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An Elementary Treatise on Statics: With a Biographical Notice of the Author

Gaspard Monge - Statics - 1851 - 228 pages
...that the direction of this resultant passes through the fulcrum, or, which amounts to the same, the sum of the moments of the forces, which tend to turn the lever in one direction around the fulcrum, is equal to the sum of the moments of those which tend to...
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An Elementary Treatise on Mechanics ...

Isaac Wilber Jackson - Mechanics - 1852 - 202 pages
...— etc.. . . .[17] Thus, whatever the number of forces, the moment of the resultant is equal to the sum of the moments of the forces which tend to turn the system in the same sense as the resultant, minus the sum of the moments of the forces 35. If, in the...
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The Elements of Natural Philosophy

Mechanics, Analytic - 1853 - 486 pages
...have the following Rule for estimating the effect of a given set of forces on a lever, viz. : Find the sum of the moments of the forces which tend to turn the lever one way, and the sum of the moments of those which tend the opposite way, and subtract the lesser...
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An Elementary Treatise on Mechanics

Isaac Wilber Jackson - Mechanics - 1854 - 224 pages
...J"yV — etc [17] Thus, whatever the number of forces, the moment of the resultant is equal to the sum of the moments of the forces which tend to turn the system in the same sense as the resultant, minus the sum of the moments of the forces which tend to...
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