 | Samuel Newth - 1879 - 370 σελίδες
...any number of forces parallel or convergent act in the same plane, the algebraic sum of their moments about any point in their plane is equal to the moment of the resultant about that point. Let P,, P,, P3, &c., be the forces, pa pa py &c., the distances of... | |
 | George Anthony Hill - 1880 - 204 σελίδες
...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 σελίδες
...(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 - 1880 - 536 σελίδες
...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 - 1880 - 568 σελίδες
...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 σελίδες
...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... | |
 | 1884 - 538 σελίδες
...that it cannot be replaced by a single force. 2. Prove that the sum of the moments of any two forces about any point in their plane is equal to the moment of their resultant. 3. Explain what is known as the principle of the lever. AS is a uniform heavy beam, movable in a vertical... | |
 | Joshua Joseph J. Doherty - 1881 - 240 σελίδες
...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... | |
 | William James Browne - 1883 - 218 σελίδες
...forces ; therefore O is on the resultant. (3) 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 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... | |
 | University of Cambridge - 1884 - 624 σελίδες
...Prove, for the case of two parallel forces acting in opposite directions, that the sum of their moments about any point in their plane is equal to the moment of their resultant about the same point. 7. Weights of 2, 4, 6 and 8 Ibs. are placed in a straight line at distances 2 feet apart. Find the... | |
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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. 
