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" Hence, the moment of the resultant of two forces is equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting upon a single particle,... "
Elementary Treatise on Mechanics: For the Use of Colleges and Schools of Science - Page 37
by William Guy Peck - 1870 - 296 pages
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...in a second. TRINITY COLLEGE, 1824. 1. EXPLAIN what is meant by the moment of a force, and shew that the moment of the resultant of two forces is equal to the sum of the moments of the components, taken with their proper signs. 2. If three forces, represented...
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Encyclopędia metropolitana; or, Universal dictionary of knowledge ..., Volume 3

Encyclopaedia - 1845 - 902 pages
...consequently the moments themselves are positive also. Equations (32) and (33) indicate therefore, that the moment of the resultant of two forces is equal to the sum or to the difference of the moments of the components, according as the point C, which is called...
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An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - Physics - 1870 - 464 pages
...within the angle CAD, sin (9 — a) becomes negative, and (3) becomes Rr = P'p'- Pp... (5). Hence, the moment of the resultant of two forces is equal...sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting...
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An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - Physics - 1870 - 556 pages
...within the angle CAD, sin (0 — a) becomes negative, and (3) becomes R r = P'/ -Pp... (5). Hence, /Ae moment of the resultant of two forces is equal to...sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces. — We have thus far considered forces acting...
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An Introduction to Natural Philosophy: Designed as a Text-book for the Use ...

Denison Olmsted - Physics - 1871 - 466 pages
...negative, and (3) becomes Rr = P'j/ -Pp... (5). Hence, the moment of the resultant of two forces i<i equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.—We have thus far considered forces acting...
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Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...of a single resultant, prove that the moment of that resultant about any point in the plane of the forces is equal to the algebraic sum of the moments of the forces about the same point. Prove also that when the forces do not admit of a single resultant the algebraic...
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An Introduction to Natural Philosophy: Designed as a Textbook in Physics for ...

Denison Olmsted - Physics - 1891 - 496 pages
...L = P x / + P' x I '. Hence, the moment of the resultant of two forces with reject to any point is equal to the algebraic sum of the moments of the forces taken separately. By using the resultant as above and a third force the moment of the resultant of the three forces may...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1895 - 1234 pages
...or d XA/. The moment of the resultant of any number of forces acting together in the same plane is equal to the algebraic sum of the moments of the forces taken separately. Statical moment. Stability.— The statical moment of a body is the product of its weight by the distance...
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Elements of the Differential and Integral Calculus with Applications, Volume 25

William Shaffer Hall - Calculus - 1897 - 282 pages
...reference to the plane YZ. But by the principle of moments, the moment of the resultant of any number of forces is equal to the algebraic sum of the moments of the forces. Hence, SSAm = 2a;Am. If now Am diminishes indefinitely, xj dm = j xdm. I xdm ™ — J Therefore (1)...
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Theoretical Mechanics: An Elementary Treatise

William Woolsey Johnson - Mechanics - 1901 - 484 pages
...Jf, + Jf, + Jfv But R is the resultant of Pll P, and P, ; hence the moment of the resultant of these forces is equal to the algebraic sum of the moments of the forces ; and, in like manner, for any number of forces, if K denote the moment of the resultant R, we have...
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