 | George Anthony Hill - Physics - 1880 - 204 pages
...245. Prove that if any number of forces act on a point in one plane the algebraic sum of their moments about any point in their plane is equal to the moment of their resultant about the same point In what two cases is this algebraic sum equal to zero ? 246. Define the axis of a couple. 248. Show... | |
 | Oxford univ, local exams - 1880 - 396 pages
...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 in a line at right angles to both the... | |
 | George Minchin Minchin - Statics - 1880 - 536 pages
...through B. 76.] Varignon's Theorem of Moments. The sum of the moments of two forces with respect to any point in their plane is equal to the moment of their resultant with respect to the point. Let AP and AQ (fig. 91) represent two forces whose resultant is AR, and... | |
 | George Minchin Minchin - Statics - 1880 - 568 pages
...the moments (with their proper signs') <f any number of co-planar parallel forces with respect to a point in their plane is equal to the moment of their resultant with respect to the point. 78.] Centre of Parallel Forces. Theorem. If any number of parallel forces,... | |
 | London univ, exam. papers - 1881 - 122 pages
...the moment of a force. Prove that when two forces act on a point, the algebraic sum of their moments about any point in their plane is equal to the moment of their resultant about the same point. 41. State the condition in order that three or more forces acting on a bar which is free to turn about... | |
 | Education, Higher - 1883 - 536 pages
...9. Define the moment of a force ahout a point. Prove that the algebraical sum of the moments of two forces about any point in their plane is equal to the moment of their resultant, both for forces whose directions meet in a point, and when they are parallel. 10. What is known as... | |
 | Joshua Joseph J. Doherty - 1881 - 240 pages
...the directions of two forces meet in a point, the algebraic sum of the moments of the Jorces round any point in their plane is equal to the moment of their resultant round the same point. Let P and Q be two forces and R their resultant represented respectively by the... | |
 | Education, Higher - 1884 - 538 pages
...-^tan-^j = 1. & & & £ AM 5. Prove that the algebraic sum of the moments of two or more forces about a point in their plane is equal to the moment of their resultant, both for parallel and concurrent forces. Hence give conditions of equilibrium for any system of forces... | |
 | Mary W I. Shilleto - 1882 - 418 pages
...in opposite directions, the difference of their moments about any point in the plane of the forces is equal to the moment of their resultant about the same point. 11. What must we know about an acceleration in order that it may be completely defined ? _ If a train... | |
 | William James Browne - Mechanics - 1883 - 218 pages
...divided at O inversely proportional to the forces ; therefore O is on the resultant. (3) The algebraic sum of the moments of two parallel forces about any...the moment of their resultant about the same point (Fig. 24A). FIG. 24A. E=P+Q.'.RX(a+6)=P«+Qa+P6+Q6. But Q6=Pc. .'. RX (a+b) = Pa+P&+Pc+Qa. R (a+6)=P... | |
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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. 
