 | Woolwich roy. military acad - 1861 - 572 pages
...1. Assuming the parallelogram of forces, prove that the algebraic sum of the moments of two forces about any point in their plane is equal to the moment of their resultant about the same point. If the algebraic sum of the moments of a system of forces in one plane be separately zero about two... | |
 | John Francis Twisden - 1863 - 412 pages
...QED Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant with reference to that point. Let P and Q be the two pressures, and let them act Fo M towards the same... | |
 | John Francis Twisden - 1863 - 390 pages
...QED Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant with reference to that point. Let P and Q be the two pressures, and let them act Fra. 52 towards the... | |
 | Samuel Newth - Mechanics, Analytic - 1864 - 392 pages
...P^i + P2 p, + <fec. — Qi ft — Qa ft - <tc. 46. If any number of parallel forces act in the same plane, the algebraic sum of their moments about any point in their resultant will be equal to zero. Let Pu P2, &c. be forcea lying on one side of the resultant, and pu... | |
 | John Kerr - Mechanics - 1866 - 358 pages
..., R r = 2 ' Pp. Cor. 2. When a set of forces acting on a point in one plane are in equilibrium, the sum of their moments about any point in their plane is equal to 0. For Pt~0, .-.Rr = 0, .-. 2-Pp = 0. Cor. 3. When a set of forces act on a point in one plane, the... | |
 | 1867 - 224 pages
...geometrical construction. Prove that the algebraic sum of the moments of two forces which are not parallel, about any point in their plane, is equal to the moment of their resultant. 3. Find the centre of gravity of a triangular lamina (or triangle) of uniform thickness and density.... | |
 | James McDowell - Mechanics - 1867 - 120 pages
...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 the line of action of the... | |
 | James Hamblin Smith - Statics - 1868 - 102 pages
...hands of a watch revolve, or the contrary. 6. The algebraic sum of the moments of two parallel forces about any point in their plane is equal to the moment of their resultant about that point. CASE I. When the forces act in the same direction. Let A, B be two points in the lines... | |
 | Dublin city, univ - 1868 - 360 pages
...Mil. TOWNSEND. 1. Prove that, when two forces intersect, the sum or difference of their moments round any point in their plane is equal to the moment of their resultant round the same point in the plane. 2. Prove that, when two forces are parallel, the sum or difference... | |
 | John Francis Twisden - Mechanics - 1868 - 364 pages
...E, D. Proposition 10. The algebraical sum of the moments of two parallel pressures with reference to any point in their plane is equal to the moment of their resultant ivith reference to that point. Let p and Q be the two pressures, and let them act towards the same... | |
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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. 
