 | Arthur Morley - Mechanics - 1905 - 308 pages
...separate forces. Also, if the system is in equilibrium (ie has a zero resultant), the algebraic sum of all the moments of the forces about any point in their plane is zero (Art. 90). These are all the conditions which are necessary, as is evident from Art. 95, but they... | |
 | William Richard King - Mechanical engineering - 1906 - 428 pages
...directions indicated. If the body remains in equilibrium the underlying principle of moments asserts that the algebraic sum of the moments of the forces about any point as a center, or about any line as an axis — the point and the line being in the same plane — must... | |
 | Thomas Wallace Wright - Mechanics - 1906 - 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... | |
 | Charles Samuel Jackson, Robert Moir Milne - Statics - 1907 - 408 pages
...of forces in one plane acting on a rigid body have a resultant, the algebraic sum of their moments about any point in 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... | |
 | Harry Bamford - Railroad bridges - 1907 - 126 pages
...algebraical sum of the components of the forces taken in any direction is nil ; and (2) The algebraical sum of the moments of the forces about any point in their plane is nil. If the forces under consideration, however, be not in equilibrium, then : (3) The algebraical... | |
 | Sidney Luxton Loney - Mechanics - 1907 - 332 pages
...of forces in one plane acting on a rigid body have a resultant, the algebraic sum of their moments about any point in 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... | |
 | Sidney Luxton Loney - Hydrostatics - 1905 - 332 pages
...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 - Graphic methods - 1908 - 410 pages
...all 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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...the rod CB. 4. Prove that, if the lines of action of two forces intersect, the sum of their moments about any point in their plane is equal to the moment of their resultant about the same point. A uniform circular disc of weight Wis supported in a vertical plane on two smooth pegs, which are so... | |
 | George Charles Turner - Graphic methods - 1909 - 500 pages
...all 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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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. 
