| 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... | |
| 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... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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