 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.  Parliamentary Papers - Page 319by Great Britain. Parliament. House of Commons - 1874Full view - About this book
 | John Greaves - Statics - 1888 - 302 pages
...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 about each of the two points is zero, so that either the... | |
 | E. J. Brooksmith - Mathematics - 1889 - 356 pages
...force about a straight line? Prove that the sum of the moments of two forces acting in a plane about a point in that plane is equal to the moment of their resultant about that point. 5. Prove that, if the sum of the moments of a number of forces acting in one plane about... | |
 | Charles Vandeleur Burton - Dynamics - 1890 - 330 pages
...coplanar forces act on a rigid body, the (algebraic) sum of their moments about any point in their plane is equal to the moment of their resultant about the same point. Let CA, CB represent two given forces, P and Q (fig. 45), ' in line of action and magnitude, and let... | |
 | Sidney Luxton Loney - Dynamics - 1891 - 318 pages
...foot from O. 62. Theorem. The algebraic sum of the moments of any two forces about any point in their plane is equal to the moment of their resultant about the same point. Case I. Let the forces meet in a point. Let P, Q acting at the point A be the two forces and 0 the... | |
 | Alexander Ziwet - Mechanics, Analytic - 1893 - 214 pages
...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. 92. The product Rr represents twice the area of the triangle having R for its base and 5 for its vertex... | |
 | A. L. Selby - Mechanics - 1893 - 328 pages
...done by P (Chap. Ill, ยง 2). Hence the sum of the moments of two or more forces about a point in this plane is equal to the moment of their resultant about the same point. Let to0 and <o be the initial and final angular velocities of the body, Hk2 its moment of inertia about... | |
 | Alexander Ziwet - Mechanics, Analytic - 1893 - 204 pages
...express the proposition that in any system of parallel forces the sum of their moments about any point is equal to the moment of their resultant about the same point. In particular, the sum of the moments about any point on the resultant is zero. This proposition may... | |
 | Richard Glazebrook, Sir Richard Tetley Glazebrook - Hydrostatics - 1895 - 682 pages
...or more forces. Thus we obtain the result that the sum of the moments of a system of forces in one plane about any point in that plane is equal to the moment of their resultant about that point. 22. Resultant of a number of Parallel Forces. We may notice (1) that this theorem enables... | |
 | Sir Richard Glazebrook - Hydrostatics - 1896 - 204 pages
...or more forces. Thus we obtain the result that the sum of the moments of a system of forces in one plane about any point in that plane is equal to the moment of their resultant about that point. & * 22. Resultant of a number of Parallel Forces. We may notice (1) that this theorem enables... | |
 | Thomas Wallace Wright - Mechanics - 1896 - 418 pages
...the resultant about the same point. For, from the preceding, the sum of the moments of any two forces is equal to the moment of their resultant about the same point; of this resultant and a third force, that is, of the three forces, to the moment of their resultant;... | |
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