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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.
Questions and Exercises on Stewart's Lessons in Elementary Physics - Página 92
de George Anthony Hill - 1880 - 188 páginas
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## Report on the examination for admission to the Royal military academy at ...

...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

John Francis Twisden - 1863 - 319 páginas
...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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## Elementary Introduction to Practical Mechanics: Being the 2d Ed. of ...

John Francis Twisden - 1863
...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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## The Elements of Mechanics, Including Hydrostatics: with Numerous Examples

Samuel Newth - 1864 - 364 páginas
...P^i + P2 p, + <fec. — Qi ft — Qa ft - <tc. 46. If any number of parallel forces act in the same plane, the algebraic sum of their moments about any point in their resultant will be equal to zero. Let Pu P2, &c. be forcea lying on one side of the resultant, and pu...
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## An Elementary Treatise on Rational Mechanics

John Kerr - 1866 - 295 páginas
..., R r = 2 ' Pp. Cor. 2. When a set of forces acting on a point in one plane are in equilibrium, the sum of their moments about any point in their plane is equal to 0. For Pt~0, .-.Rr = 0, .-. 2-Pp = 0. Cor. 3. When a set of forces act on a point in one plane, the...
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## Examination papers collected by A. Clark as a student and as an examiner

1867
...geometrical construction. Prove that the algebraic sum of the moments of two forces which are not parallel, about any point in their plane, is equal to the moment of their resultant. 3. Find the centre of gravity of a triangular lamina (or triangle) of uniform thickness and density....
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## Mechanics Required for the Additional Subjects for Honours ... and for the ...

James L. McDowell - 1867 - 102 páginas
...the point A lies on the line of action of the resultant, since the sum of the moments of the forces about any point in their plane is equal to the moment of the resultant about the same point. Similarly, the points B and C lie on the line of action of the...
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## A Treatise on Elementary Statics

James Hamblin SMITH - 1868
...hands of a watch revolve, or the contrary. 6. The algebraic sum of the moments of two parallel forces about any point in their plane is equal to the moment of their resultant about that point. CASE I. When the forces act in the same direction. Let A, B be two points in the lines...
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## Elementary Introduction to Practical Mechanics, Illustrated by Numerous ...

John Francis Twisden - 1868 - 320 páginas
...E, D. 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 ivith reference to that point. Let p and Q be the two pressures, and let them act towards the same...
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## Dublin examination papers

Dublin city, univ - 1868
...Mil. TOWNSEND. 1. Prove that, when two forces intersect, the sum or difference of their moments round any point in their plane is equal to the moment of their resultant round the same point in the plane. 2. Prove that, when two forces are parallel, the sum or difference...
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