 | Adolphe Ganot - 1868 - 886 pages
...the equations which determine the resultant of any number of forces (34), equations which express the conditions of equilibrium of any number of forces acting in one plane on a point : in fact, if U = 0 we must have X = 0 and Y = 0 ; that is to say, the required conditions... | |
 | sir Philip Magnus (1st bart.) - 1876 - 368 pages
...constant. XXIII. General Conditions of Equilibrium of Forces in one Plane — -Recapitulation. § 166. Conditions of Equilibrium of any number of forces...which we stated at the opening of this chapter to 1 e the problem of Statics. We have seen, that when any number of forces act at different points of... | |
 | Harvard University - 1876 - 554 pages
...preceding ; find the magnitude of their resultant and its inclination to the horizon. (22) 4. What are the conditions of equilibrium of any number of forces acting in one plane on a rigid body ? A uniform bar 6 feet long with a weight of 55 Ibs. placed at a distance of 2 feet... | |
 | sir Philip Magnus (1st bart.) - 1877 - 360 pages
...constant. XXIII. General Conditions of Equilibrium of Forces in one Plane—Recapitulation. § 166. Conditions of Equilibrium of any number of forces...which we stated at the opening of this chapter to te the problem of Statics. We have seen, that when any number of forces act at different points of... | |
 | 1877 - 678 pages
...standing on the same base with vertical angles, each eqnal to a right angle, will be a circle. 2. Find the conditions of equilibrium of any number of forces acting in one plane on a rigid body. A uniform ladder weighs 121 Ibs., rests between a vertical wall and the horizontal... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 pages
...of their centre; also find its position if the direction of the force Q is reversed. (20). 23. The conditions of equilibrium of any number of forces acting in one plane on a rigid body being given in the usual form, viz :— State the meaning of each of these equations.... | |
 | George Anthony Hill - 1880 - 204 pages
...body can be reduced to a single force or to a couple. 252. Demonstrate the necessary and sufficient conditions of equilibrium of any number of forces acting in one plane on a rigid body, viz., — 1°. The algebraic gums of the projections of the forces, estimated along... | |
 | 1884 - 538 pages
...of a force in any direction. Find, by resolving each force into two components at right angles, the conditions of equilibrium of any number of forces acting in one plane at a point. 3. If twe forces, P and Q, act at such an angle that R = P, show that if P be doubled, the... | |
 | Thomas Minchin Goodeve - 1883 - 368 pages
...P! sin a, + p2 sin a2 + &c. = o . . . . (2) which are the required conditions. 60. Prop. To find the conditions of equilibrium of any number of forces acting in one plane upon different points of a rigid body. Let A be any point in the body, P, P2 . . . the forces acting... | |
 | Great Britain. Education Department. Department of Science and Art - 1899 - 348 pages
...through the centre of gravity. Find the moment of Inertia of a cube about an ed^e. (20.) 22. State the conditions of Equilibrium of any number of forces acting in one plane on a rigid body. Let AB, BC be two rods at right angles to each other, rigidly fastened together at... | |
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Conditions of Equilibrium of any number of forces acting in one plane at different points of a rigid body. — We are now in a position to give the results of the solution of the problem (with respect to forces in one plane) which we stated at the opening... 