 | James McDowell - 1867 - 120 pages
...For if the resultant be not zero, the point A lies on the line of action of the resultant, since the sum of the moments of the forces about any point in their plane is equal to the moment of the resultant about the same point. Similarly, the points B and C lie on... | |
 | George Farrer Rodwell - 1871 - 620 pages
...another. When the forces are parallel, and in one plane, in order that there may be equilibrium, the sum of the moments of the forces about any point in their plane must be zero. When the forces act on a rigid body, there are usually two conditions of equilibrium, the... | |
 | John Christie Douglas - 1875 - 464 pages
...left-handed when the tendency is to rotate the body in the opposite direction. The moment of a couple is the sum of the moments of the forces about any point in their plane, and therefore is equal to the product of the arm of the couple and one of the equal forces; it measures... | |
 | sir Philip Magnus (1st bart.) - 1876 - 368 pages
...of the forces in each of two directions at right angles must separately vanish ; and the algebraical sum of the moments of the forces about any point in...under the action of any number of forces in one plane. § 168. In the solution of problems condition (iii) I. very frequently enables us to obtain a geometrical... | |
 | sir Philip Magnus (1st bart.) - 1877 - 360 pages
...their moments about any point must vanish. III. act at different points, and in different directions. forces about any point in their plane must likewise...under the action of any number of forces in one plane. § 168. In the solution of problems condition (iii) J. very frequently enables us to obtain a geometrical... | |
 | James Thomson Bottomley - 1877 - 152 pages
...proposition is referred to as the "principle of moments :" If there are any three forces in equilibrium, the algebraic sum of the moments of the forces about any point in their plane is equal to zero. That is to say, let there be three forces in equilibrium; and from any point in their... | |
 | Oxford univ, local exams - 1880 - 396 pages
...the moment of a force; and prove (i) in the case of two parallel forces of the same kind, that the sum of the moments of the forces about any point in their plane is equal to the moment of their resultant ; (2) that the moment of a couple is the same about all points... | |
 | John Greaves - 1888 - 302 pages
...two points in the plane but not in a straight line with the particle, be zero. For 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 : therefore the moment of their resultant... | |
 | Edward Salisbury Dana - 1881 - 320 pages
...components in any two directions at right angles to each other must be equal to zero (141). For (b) the algebraic sum of the moments of the forces about any point in the plane must also reduce to zero (156). EXAMPLES. XXIII. Momenfg. Articles 151-156. 1. A force, P=... | |
 | Sidney Luxton Loney - 1891 - 318 pages
...algebraic sum of the resolved parts of all the forces in a perpendicular direction. III. Equate to zero the algebraic sum of the moments of the forces about any point in their plane. The above three statical relations, together with the geometrical relations holding between the component... | |
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... the algebraic sum of the moments of the forces about any point in their plane must likewise vanish. 
