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" The last three equations express that the sum of the moments of all the forces about any three axes not in the same plane must also vanish. "
Practical Mechanics
by John Perry - 1883 - 271 pages
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A Treatise on Statics: Containing the Theory of the Equilibrium of Forces ...

Samuel Earnshaw - Statics - 1845 - 290 pages
...any two lines at right angles to each other in the plane of the forces are each equal to zero ; and the sum of the moments of all the forces about any point in the plane of the forces, or about any axis at right angles to the plane of the forces, is also equal...
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Elementary Mechanics Including Hydrostatics and Pneumatics

Sir Oliver Lodge - Hydrostatics - 1879 - 216 pages
...components of all the forces in any two directions at right angles to each other shall vanish. (2.) That the sum of the moments of all the forces about any one * point in the plane shall vanish. (1) is the condition for no translation (properly speaking,...
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An Elementary Treatise on Theoretical Mechanics: Introduction to dynamics ...

Alexander Ziwet - Mechanics, Analytic - 1893 - 204 pages
...the forces along any three lines not in the same plane must vanish. The last three equations express that the sum of the moments of all the forces about any three axes not in the same plane must also vanish. The moment of a force about an axis must be understood...
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The Application of Graphic Methods to the Design of Structures: Specially ...

William Wade Fitzherbert Pullen - Graphic statics - 1896 - 344 pages
...the external forces acting on the beam is zero, or R! + R2 - 5 - 8 - 10 = 0 (10) From the second law, the sum of the moments of all the forces about any point in the plane of the forces is zero. Take moments about any point A in the line of action of the right-hand...
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Applied Mechanics: A Treatise for the Use of Students who Have Time to Work ...

John Perry - Mechanical engineering - 1897 - 724 pages
...are: \T TO/ A force at o, of amount H. in the direction o H, say ; a couple ut o whose moment is - L ; a force at p ; a couple at p whose moment is given...then, no moment, and is to be neglected, and we have - H xp H — : In fact, <fl--) = 3 \r rnf Let pu be a short distance measured from P along the spring....
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Arithmetic, algebra, logarithms, geometry and trigonometry, elementary ...

International Correspondence Schools - Civil engineering - 1899 - 722 pages
...equilibrium that the moments of all the forces about any point should balance; in other -words, the algebraic sum of the moments of all the forces about any point must equal zero. If, at any point the moments did not balance, the structure, or some part of it, would...
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International Library of Technology: A Series of Textbooks for ..., Volume 5

Agriculture - 1902 - 542 pages
...equilibrium that the moments of all the forces about any point should balance; in other words, the algebraic sum of the moments of all the forces about any point must equal zero. If, at any point the moments did not balance, the structure, or some part of it, would...
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Hydraulics, Pneumatics, Graphical Statics, Heat, Refrigeration

Graphic statics - 1902 - 544 pages
...equilibrium that the moments of all the forces about any point should balance; in other words, the algebraic sum of the moments of all the forces about any point must equal zero. If, at any point the moments did not balance, the structure, or some part of it, would...
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Elements of Theoretical Mechanics

Alexander Ziwet - Mechanics - 1904 - 513 pages
...the forces along any three lines not in the same plane must vanish. The last three equations express that the sum of the moments of all the forces about any three axes not in the same plane must also vanish. The moment of a force about an axis must be understood...
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I.C.S. Reference Library, Volume 34

Correspondence schools and courses - 1905 - 1026 pages
...= 50,000 ft.-lb. Ans. (6) The moment due to the load of 5,000 Ib. is 5,000X7 = 35,000 ft.-lb. Since the sum of the moments of all the forces about any .point must equal zero in order to have equilibrium, the moment of the force on the opposite end of the beam must...
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