 | Trinity College (Dublin, Ireland) - 1909 - 546 pages
...MECHANICS. MB. ROBERTS. [Select EIOHT questions.'] I . Prove that the 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. 2. The sides of a triangle are 13, 12, and 5 feet respectively. Forces of 26 Ibs., 12 Ibs., and 10... | |
 | George Charles Turner - Graphic methods - 1909 - 500 pages
...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... | |
 | University of Calcutta - 1911 - 760 pages
...6+a 2. (a) Shew that, it any number of coplanar forces acting on a rigid body have a resultant, then the algebraic sum of their moments about any point...their plane is equal to the moment of their resultant. [(6) Either Forces equal to P, 2P, 3P. and 4P act along the sides of a square, token in order ; find... | |
 | Edwin Henry Barton - Mechanics, Analytic - 1911 - 568 pages
...vectors are localised at a point O, then the algebraic sum of their moments with respect to any point P in their plane is equal to the moment of their resultant about P. In Fig. 6A, let OA, OB represent the component vectors, OC their resultant, found by the parallelogram... | |
 | Alexander Ziwet, Peter Field - Mechanics, Analytic - 1912 - 420 pages
...opposite and in the same line, we find Rr = Pp + Qq; ie the sum of the moments of two parallel forces about any point in their plane is equal to the moment of their resultant about the same point. If, in particular, the point of reference be taken on the resultant so that r = 0, we find STATICS... | |
 | Alexander Ziwet, Peter Field - Mechanics, Analytic - 1912 - 410 pages
...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... | |
 | Great Britain. Board of Education - Education - 1912 - 372 pages
...MATHEMATICS. IV. See Note after Question 11. 1. Prove that the sum of the moments of two coplanar forces about any point in their plane is equal to the moment of their resultant about the point. Four equal forces act in order along the sides AB, BC, CD, DA of a quadrilateral inscribed in... | |
 | Sidney Luxton Loney - Mechanics - 1912 - 418 pages
...proper sign prefixed to it. 38. The algebraic sum of the moments of any two forces about any point 0 in their plane is equal to the moment of their resultant about the same point. Case I. Let the forces P and Q meet in a point A. From 0 draw OC parallel to the direction of P to... | |
 | Great Britain. Board of Education - Mathematics - 1912 - 632 pages
...of AC, BC when there is equilibrium. 2. Prove that the sum of the moments of two intersecting forces about any point in their plane is equal to the moment of their resultant. A body is in equilibrium under the action of forces along the sides of a ."ectangle. Prove that each... | |
 | Great Britain. Board of Education - Education - 1912 - 1044 pages
...of AC, BC when there is equilibrium. 2. Prove that the sum of the moments of two intersecting forces about any point in their plane is equal to the moment of their resultant. A body is in equilibrium under the action of forces along the sides of a .rectangle. Prove that each... | |
| |
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. 
