 | Sidney Luxton Loney - Dynamics - 1891 - 318 pages
...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 - Graphic statics - 1892 - 236 pages
...(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 - Mechanics, Analytic - 1893 - 216 pages
...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 - Statics - 1894 - 254 pages
...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... | |
 | Sir Richard Glazebrook - Hydrostatics - 1896 - 204 pages
...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... | |
 | Great Britain. Civil Service Commission - Civil service - 1896 - 112 pages
...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... | |
 | Thomas Wallace Wright - Mechanics - 1896 - 418 pages
...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... | |
 | 1898 - 830 pages
...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 - 166 pages
...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... | |
 | George Minchin Minchin - Mechanics - 1900 - 278 pages
...the rule for unlike parallel forces ? 3. Prove that the sum of the moments of any two parallel forces about any point in their plane is equal to the moment of their resultant about that point. 4. Define a couple. Explain the meaning of expressing the resultant of two equal unlike... | |
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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. 
