 If the point 0, about which the moments are taken, lies on the resultant, the moment of the resultant about the point vanishes. In this case the algebraic sum of the moments of the component forces about the given point vanishes, ie The moments of two...  Mechanics and Hydrostatics for Beginners - Σελίδα 41των Sidney Luxton Loney - 1905 - 290 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | James McDowell - 1867 - 120 σελίδες
...the line of action of the resultant R, then the moment of R is zero, and therefore the moments of any two forces about any point on the line of action of their resultant are equal in magnitude but opposite in sign. In the case of parallel forces this also follows directly from Arts.... | |
 | Sidney Luxton Loney - 1891 - 318 σελίδες
...algebraic sum of the moments of the component forces about the given point vanishes, ie The moments of two forces about any point on the line of action...theorem independently from a figure ; for, in Art. 62, the point 0 will be found to coincide with the point D and we have only to shew that the triangles... | |
 | William Briggs, George Hartley Bryan - 1894 - 254 σελίδες
...couple cannot be replaced by a single finite resultant force. For the algebraic sum of the moments of two forces about any point on the line of action of their resultant is zero (§ 67). But the sum of the moments of two forces forming a couple about every point in their... | |
 | John Cox - 1904 - 366 σελίδες
...the resultant; or, what comes to the same thing: The algebraical sum of the moments of two concurrent forces about any point on the line of action of their resultant is zero. 172. The property just proved is a particular case of a vari non's theorem communicated to... | |
 | Sidney Luxton Loney - 1912 - 418 σελίδες
...algebraic sum of the moments of the component forces about the given point vanishes, ie The moments of two forces about any point on the line of action...of their resultant are equal and of opposite sign. 40. Generalised theorem of moments. If any number of forces P, Q, R, S ... in one plane acting on a... | |
 | Great Britain. Board of Education - 1912 - 632 σελίδες
...the angles between them. 2. Show that if two forces act at a point their moments about any point in the line of action of their resultant are equal and of opposite sign. Three forces P, Q, B act along three sides BC, CA, AB of a triangle, and their resultant acts along... | |
 | Great Britain. Board of Education - 1912 - 1044 σελίδες
...angles between them. — 2. Show that if two forces act at a point their moments about any point in the line of action of their resultant are equal and of opposite sign. Three forces P, Q, R act along three sides BC, CA, AB of a triangle, and their resultant acts along... | |
 | Sidney Luxton Loney - 1953 - 346 σελίδες
...algebraic sum of the moments of the component forces about the given point vanishes, ie The moments of two forces about any point on the line of action...point D and we have only to shew that the triangles ACO and ABO are now equal, and this is obviously true. 59. Generalised theorem of moments. If any number... | |
 | 650 σελίδες
...algebraic sum of the moments of the component forces about the given point vanishes, ie The moments of two forces about any point on the line of action...theorem independently from a figure ; for, in Art. 62, the point 0 will be found to coincide with the point D and we have only to shew that the triangles... | |
 | Lev Davidovich Landau, Evgeniĭ Mikhaĭlovich Lifshit︠s︡ - 1960 - 366 σελίδες
...resultant ; or, what comes to the same thing : The algebraical sum of the moments of two concurrent forces about any point on the line of action of their resultant is zero. 172. The property just proved is a particular case of a theorem communicated to the Paris... | |
| |
