 | Harvey Goodwin - Mathematics - 1846 - 500 pages
...formulae determine the direction and magnitude of the resultant of the system of forces. .. J 15. To find the conditions of equilibrium of any system of forces, acting in one plane at the same point. Suppose the forces are reduced to one (R), as in the last .article; then in order... | |
 | Harvey Goodwin (Bishop of Carlisle.) - 1851 - 414 pages
...form of the conditions of equilibrium. We shall now investigate the conditions algebraically. PROP. To find the conditions of equilibrium of any system of forces, acting in one plane at the same point. Suppose the forces to be all reduced to one (/?), as in Art. 8 ; then in order that... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...of the lines drawn perpendicular to OP, OP1, OQ through P, P1, Q, is isosceles and rightangled. 2. Find the conditions of equilibrium of any system of forces acting in one plane. Account for one of these conditions only being necessary, in the case of a lever attached to a fulcrum. A uniform... | |
 | Harvey Goodwin - Statics - 1865 - 196 pages
...form of the conditions of equilibrium. We shall now investigate the conditions algebraically. PROP. To find the conditions of equilibrium of any system of forces, acting in one plane at the same point. Suppose the forces to be all reduced to one (B), as in Art. 8 ; then in order that... | |
 | J W. Mulcaster - 1871 - 242 pages
...condition is necessary to the equilibrium of any number of pressures acting in the same plane. 12. Find the conditions of equilibrium of any system of...necessary in the case of a lever attached to a fulcrum. 13. Prove the " Polygon of Forces." 14. Determine the necessary and sufficient conditions that a system... | |
 | Sir John Francis Twisden - Mechanics - 1880 - 382 pages
...couple whose moment is represented by twice the area of the triangle. Proposition 15. To determine the conditions of equilibrium of any system of forces acting in one plane on a rigid body. Adopting the notation of Prop. 14, let R be the resultant of P2, P3, ..... Now, the... | |
 | Sidney Luxton Loney - Dynamics - 1891 - 318 pages
...practice, however, it is almost always desirable to resolve along two directions at right angles. Hence the conditions of equilibrium of any system of forces, acting in one plane upon a rigid body, may be obtained as follows ; I. Equate to zero the algebraic sum of the resolved... | |
 | 650 pages
...practice, however, it is almost always desirable to resolve along two directions at right angles. Hence the conditions of equilibrium of any system of forces, acting in one plane upon a rigid body, may be obtaiued as follows ; I. Equate to zero the algebraic sum of the resolved... | |
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Hence the conditions of equilibrium of any system of forces, acting in one plane upon a rigid body, may be obtained as follows ; I. 