 Hence, the moment of the resultant of two forces is equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting upon a single particle,...  Elements of Mechanics - Seite 42von William Guy Peck - 1866Vollansicht - Über dieses Buch
 | Encyclopaedia - 1845 - 902 Seiten
...consequently the moments themselves are positive also. Equations (32) and (33) indicate therefore, that the moment of the resultant of two forces is equal to the sum or to the difference of the moments of the components, according as the point C, which is called... | |
 | Denison Olmsted - 1870 - 464 Seiten
...within the angle CAD, sin (9 — a) becomes negative, and (3) becomes Rr = P'p'- Pp... (5). Hence, the moment of the resultant of two forces is equal...sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting... | |
 | Denison Olmsted - 1870 - 556 Seiten
...within the angle CAD, sin (0 — a) becomes negative, and (3) becomes R r = P'/ -Pp... (5). Hence, /Ae moment of the resultant of two forces is equal to...sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces. — We have thus far considered forces acting... | |
 | Denison Olmsted - 1871 - 466 Seiten
...negative, and (3) becomes Rr = P'j/ -Pp... (5). Hence, the moment of the resultant of two forces i<i equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.—We have thus far considered forces acting... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 Seiten
...of a single resultant, prove that the moment of that resultant about any point in the plane of the forces is equal to the algebraic sum of the moments of the forces about the same point. Prove also that when the forces do not admit of a single resultant the algebraic... | |
 | Denison Olmsted - 1891 - 496 Seiten
...L = P x / + P' x I '. Hence, the moment of the resultant of two forces with reject to any point is equal to the algebraic sum of the moments of the forces taken separately. By using the resultant as above and a third force the moment of the resultant of the three forces may... | |
 | William Kent - 1895 - 1234 Seiten
...or d XA/. The moment of the resultant of any number of forces acting together in the same plane is equal to the algebraic sum of the moments of the forces taken separately. Statical moment. Stability.— The statical moment of a body is the product of its weight by the distance... | |
 | William Shaffer Hall - 1897 - 280 Seiten
...reference to the plane YZ. But by the principle of moments, the moment of the resultant of any number of forces is equal to the algebraic sum of the moments of the forces. Hence, SSAm = 2a;Am. If now Am diminishes indefinitely, xj dm = j xdm. I xdm ™ — J Therefore (1)... | |
 | William Woolsey Johnson - 1901 - 484 Seiten
...Jf, + Jf, + Jfv But R is the resultant of Pll P, and P, ; hence the moment of the resultant of these forces is equal to the algebraic sum of the moments of the forces ; and, in like manner, for any number of forces, if K denote the moment of the resultant R, we have... | |
 | William Kent - 1902 - 1204 Seiten
...or d X ft/. The moment of the resultant of any number of forces acting together in the same plane is equal to the algebraic sum of the moments of the forces taken separately. Statical Moment. Stability.— The statical moment of a body is the product of its weight by the distance... | |
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