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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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A Text-book of Applied Mechanics and Mechanical Engineering, Volume 1

Andrew Jamieson - 1903
...the moment of a force about a point, and show that the sum of the moments of any two forces about a point in their plane is equal to the moment of their resultant about the same point. (ICE, Oct., 1897.) 2. Given a system of forces whose lines of action meet in a point, how would you...
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Elements of Theoretical Mechanics

Alexander Ziwet - 1904 - 494 páginas
...now be stated in the following form : the algebraic sum of the moments of any two intersecting forces about any point in their plane is equal to the moment of their resultant about the same point. 288. The product Rr represents twice the area of the triangle having R for its base and 5 for its vertex...
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Calendar

University of Sheffield - 1905
...Prove that AR: RB = AR': R'B. 8. Prove that the sum of the moments of two forces in the same plane, about any point in their plane, is equal to the moment of their resultant. Loads of 3, 5, 2, 4 cwt. are placed on a horizontal guider, at distances of 3, 5, 6, 8 feet, respectively,...
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Elements of Mechanics Including Kinematics, Kinetics and Statics: With ...

Thomas Wallace Wright - 1906 - 382 páginas
...twice the area of the triangle. 5. Show that the sum of the moments of the two forces forming a couple about any point in their plane is equal to the moment of the couple. 139. General Method of Combining Forces (Analytical). — It is evident from the preceding...
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A First Statics

Charles Samuel Jackson, Robert Moir Milne - 1907 - 372 páginas
...from the point B. 68. If any number of forces in one plane acting on a rigid body have a resultant, the algebraic sum of their moments about any point...their plane is equal to the moment of their resultant. Forces respectively proportional to cos B — cos C, cos C- cos A, cos A - cos B, act along the sides...
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Mechanics and Hydrostatics for Beginners

Sidney Luxton Loney - 1907 - 290 páginas
...Generalised theorem of moments. If any number of forces in one plane acting on a rigid body have a resultant, the algebraic sum of their moments about any point...their plane is equal to the moment of their resultant. For let the forces be P, Q, R, S,... and let 0 be the point about which the moments are taken. Let...
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Moving Loads on Railway Underbridges: Including Diagrams of Bending Moments ...

Harry Bamford - 1907 - 78 páginas
...their resultant taken in the same direction ; and (4) The algebraical sum of the moments of the forces about any point in their plane is equal to the moment of their resultant about the same point. Let AB, therefore, Fig. 1, represent a beam of span L supported at both ends and loaded with a single...
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Mechanics and Hydrostatics for Beginners

Sidney Luxton Loney - 1905 - 290 páginas
...then pass through the point 0. Since the algebraic sum of the moments of any number of forces about a point in their plane is equal to the moment of their resultant, therefore the sum of the moments of P, Q, and 0 is equal to the moment of their resultant. But this...
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Graphics Applied to Arithmetic, Mensuration and Statics

George Charles Turner - 1908 - 388 páginas
...parallel forces which have a resultant. The sum of the moments of a number of parallel coplanar forces about any point in their plane is equal to the moment of the resultant about that point. The algebraic sum of the moments is given by the intercept, between...
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Introduction to Analytical Mechanics

Alexander Ziwet, Peter Field - 1912 - 378 páginas
...point. We have therefore proved that the algebraic sum of the moments of any two intersecting forces about any point in their plane is equal to the moment of their resultant about the same point. This proposition is known as the theorem of moments, or Varignon's theorem. It is readily extended...
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