| Thomas Wallace Wright - 1890 - 254 páginas
...we have 0 = RX O1 + F, X Oa + F, X Ob + . . .; or, when forces acting at a point are in equilibrium, **the algebraic sum of their moments about any point in their plane is** zero. (b) When forces acting at a point A are in equilibrium, their moment about any point O gives... | |
| Sidney Luxton Loney - 1891
...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... | |
| Leander Miller Hoskins - 1892 - 191 páginas
...(not shown) its magnitude. By the principle of moments (Art. 50) the sum of the moments of AB and BC **about any point in their plane is equal to the moment of** AC about the same point. If the origin of moments is on ac, the moment of AC is zero ; and therefore... | |
| Alexander Ziwet - 1893
...be stated in the following form : the algebraic sum of the moments of any tivo intersecting forces **about any point in their plane is equal to the moment of their resultant about the same point.** 92. The product Rr represents twice the area of the triangle having R for its base and 5 for its vertex... | |
| William Briggs, George Hartley Bryan - 1894 - 220 páginas
...opposite to the sum of their moments. COR. 2. — When any number of coplanar forces* act on a rigid body, **the algebraic sum of their moments about any point...their plane is equal to the moment of their resultant.** Consider two of the forces. Whether these intersect or are parallel, algebraic sum of their moments... | |
| Richard Glazebrook - 1896
...great importance. PROPOSITION 15. To prove that the algebraic sum of the moments of two forces about a **point in their plane is equal to the moment of their resultant about** that point. (i) When the lines of action of t/te forces meet. Let the forces be P, Q impressed on a... | |
| Thomas Wallace Wright - 1896 - 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... | |
| Great Britain. Civil Service Commission - 1896 - 96 páginas
...Define the term "moment of a force." Show that the sum of the moments of two forces with respect to a **point in their plane, is equal to the moment of their resultant** with respect to the point. 6. A imiform beam is supported horizontally at its extremities on two vertical... | |
| 1898
...the directions of two forces meet in a point, the algebraic sum of the moments of the forces round **any point in their plane is equal to the moment of their resultant** round the same point. 7. A smooth plane has an inclination to the horizon of 45°, and the length of... | |
| 1899
...of action must meet in a point or else be parallel. 5. The sum of the moments of two parallel forces **about any point in their plane is equal to the moment of their resultant.** Discus* the case when the forces are equal and unlike. 6. Find the conditions for the equilibrium of... | |
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