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" Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point. "
A Treatise on Elementary Statics - Page 36
by John Greaves - 1888 - 274 pages
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General Report on Public Instruction, in the Lower Provinces of the Bengal ...

Bengal (India) - 1848 - 520 pages
...whose directions lie in one plane act upon a point, the sum of their moments about any point In the plane, is equal to the moment of their resultant about the same point. 3. Find how the requisites of a good balance may be satisfied : and show how to graduate the common...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1848 - 394 pages
...whose directions lie in one plane act upon a point, the sum of their moments about any point in the plane, is equal to the moment of their resultant about the same point. 20 3. Find how the requisites of a good balance may be sati?' lied: and shew how to graduate the common...
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Elementary Mechanics ... Part I [- II].

Harvey Goodwin (Bishop of Carlisle.) - 1851 - 414 pages
...with perfect confidence, and I believe that I quite understand the principle, that for equilibrium the algebraical sum of the moments of the forces about any point must be zero, for this is equivalent to saying that there must be no tendency to twist about any point...
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Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861 - 572 pages
...GKIFFIN, MA 1. Assuming the parallelogram of forces, prove that the algebraic sum of the moments of two forces about any point in their plane is equal to...the moment of their resultant about the same point. If the algebraic sum of the moments of a system of forces in one plane be separately zero about two...
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Elementary Introduction to Practical Mechanics: Being the 2d Ed. of ...

John Francis Twisden - 1863 - 412 pages
...QED Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant with reference to that point. Let P and Q be the two pressures, and let them act Fo M towards the same...
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Elementary introduction to practical mechanics

John Francis Twisden - 1863 - 390 pages
...QED Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant with reference to that point. Let P and Q be the two pressures, and let them act Fra. 52 towards the...
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An elementary treatise on Mechanics

Stephen Parkinson - Mechanics - 1863 - 408 pages
...expresses that the sum of the moments of two forces about any point in the plane in which they act is equal to the moment of their resultant about the same point. 38. We are now in a position To find the conditions of equilibrium of a system of forces acting in...
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The Elements of Mechanics, Including Hydrostatics: with Numerous Examples

Samuel Newth - Mechanics, Analytic - 1864 - 392 pages
...8VVP and the pressure on the circle is equal to JW. 31. The moment of the resultant of two converging forces about any point in their plane is equal to the moment of their resultant. Let P and Q be forces acting on the point O, and let R be the resultant, making the angles a and /3...
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Elementary Statics

Harvey Goodwin - Statics - 1865 - 196 pages
...parallel forces acting upon a rod will be as follows, (1), •(2). the algebraical sum of the forces -=0 the algebraical sum of the moments of the forces about any point = 0 12. It may be observed that the experimental method of proof used in this chapter might be applied...
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An Elementary Treatise on Rational Mechanics: By the Rev. John Kerr

John Kerr - Mechanics - 1866 - 358 pages
...Theorem. If any number of forces act upon a point in one plane, the algebraic sum of their moments about any point in their plane is equal to the moment of their resultant about the same point. Let A be the point of application; P, Q, S, . . the forces, and R their resultant; OQ the centre of...
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