 | Leander Miller Hoskins - Mechanics - 1900 - 456 pages
...— Proposition. — The algebraic sum of the moments of any two coplanar forces with respect to a point in their plane is equal to the moment of their resultant with respect to that point. In the proof of this proposition two cases must be considered, according... | |
 | 1901 - 160 pages
...sin QOR : sin ROP : sin POQ. (b) Prove that the sum of the moments of two forces acting at a point about any point in their plane is equal to the moment of their resultant about the same point ; and extend this theorem to the case of any number of coplanar forces acting at a point. (c) Shew... | |
 | Andrew Gray - 1901 - 740 pages
...theorem, which will be of great service later, that the sum of the moments of any two directed quantities about any point in their plane is equal to the moment of their resultant about the same point. The sum of the moments is zero, if the point be on the resultant, and is not zero unless this is the... | |
 | Andrew Gray - Dynamics - 1901 - 726 pages
...theorem, which will be of great service later, that the sum of the moments of any two directed quantities about any point in their plane is equal to the moment of their resultant about the same point. The sum of the moments is zero, if the point be on the resultant, and is not zero unless this is the... | |
 | Andrew Gray - Dynamics - 1901 - 726 pages
...moments of any number of quantities directed along coplanar lines which meet in a point, taken round any point in their plane, is equal to the moment of their resultant about the same point. 118. General Theorem of Composition of Moments. — This theorem is only a particular case of a more... | |
 | Eldred John Brooksmith - Mathematics - 1901 - 368 pages
...2. Prove that the algebraical sum of the moments of a number of coplanar forces acting on a particle about any point in their plane is equal to the moment of their resultant about that point. /"is the orthocentre of a triangle ABC. Forces act along AP, BP, CP, and are proportional... | |
 | 1901 - 768 pages
...system of forces in one plane act at the same point. Shew that the sum of the moments of the forces about any point in their plane is equal to the moment of their resultant. Two light rods AB, .4 fare free to move in a •vertical plane about the fixed point A. S, C&re connected... | |
 | University of Toronto - 1901 - 1190 pages
...acting in one plane, about any point in the plane. Prove that the sum of the moments of two forces about any point in their plane is equal to the moment of the resultant about the same point. 3. Obtain the conditions of equilibrium for (a) any number of forces... | |
 | University of St. Andrews - 1902 - 740 pages
...it can be represented geometrically. Prove that if two forces which meet at a point act on a body, the algebraic sum of their moments about any point...plane is equal to the moment of their resultant about that point. A straight weightless rod is kept in equilibrium by three parallel forces A, B, C. Show... | |
 | 1903 - 898 pages
...balance. 3. Prove that 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. Prove that the forces represented by the sides of a triangle taken in order are equivalent to a couple,... | |
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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. 
