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" If three forces acting at a point be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium. "
Mathematical Formulae: For the Use of Candidates Preparing for the Army ... - Σελίδα 83
επεξεργασία από - 1880 - 100 σελίδες
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Dynamics; or, Theoretical mechanics

James Thomson Bottomley - 1877 - 152 σελίδες
...of a triangle taken in order; and, conversely, if three forces are represented in magnitude and in direction, by the sides of a triangle taken in order, they will be in equilibrium if applied to a point. 2?A. The Polygon of Forces. — Let there be any number of forces, Pj, P2, P3,...

The elements of dynamics, mechanics

James Andrew Blaikie - 1878 - 184 σελίδες
...with velocity AC. 13. Triangle of Velocities.—If a point have three component velocities, which are represented in magnitude and direction by the sides of a triangle taken in order, the point is at rest. Let a point have three uniform velocities represented by the sides AB, BC, CA...

The elements of mechanics; including hydrostatics

Samuel Newth - 1879 - 370 σελίδες
...P : Q : E : : sin QE : sin EP : sin PQ. 23. POLYGON OF FORCES. If any number of forces acting upon a point be represented in magnitude and direction by the sides of a polygon taken in order, they will be in equilibrium, Let forces represented by the sides of the polygon...

Military examinations. Mathematical examination papers, set for entrance to ...

Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 σελίδες
...sides meet in the point T, and Ü is the centre of the circle circumscribing the triangle ; prove that if three forces acting at a point be represented in magnitude and direction by the lines AT, BТ, and CT, their resultant is represented in magnitude and direction by twice the line...

Hints to young architects

George Wightwick - 1880 - 402 σελίδες
...simplicity and constant use, is of great inline in designing structures. 2. // three forces acting on a point be represented in magnitude and direction by the sides of a triangk taken in order, they will keep the point in equilibrium. Let ABC be the triangle, and let P,Q...

The Cambridge Examiner, Τόμος 1

1881 - 504 σελίδες
...The sides of a triangle are 2, J6, 1 + J3. Find the angles. 6. If three forces acting on a particle be represented in magnitude and direction by the sides of a triangle taken in order they will keep the particle in equilibrium. 7. Find the centre of gravity of a plane triangular area, shew that...

An elementary text-book of mechanics (kinematics and dynamics).

Joshua Joseph J. Doherty - 1881 - 240 σελίδες
...the sides OA, OB. 1 74. Triangle of Forces. — If a particle be acted on by three forces which are represented in magnitude and direction by the sides of a triangle taken in order, t/1en the forces will be in equilibrium. Conversely. — If t/me, forces acting on a particle be in...

Gibson's London matriculation guide, by J. Gibson [and others].

1882 - 376 σελίδες
...ice is 80 units.) ANSWEES TO THE NATUEAL PHILOSOPHY PAPEE. 1. If three forces acting at a point can be represented in magnitude and direction by the sides...triangle taken in order, they will be in equilibrium. And, conversely, if three forces acting at a point balance each other, and any triangle be constructed...

The Elements of Analytical Mechanics

De Volson Wood - 1882 - 276 σελίδες
...component forces. 44. TJRIANGLE OF FORCES. If three concurrent forces are in equilibrium, they may be represented in magnitude and direction by the sides of a triangle taken in their order ; and if the direction of action of one be reversed, it will be the resultant of the other...

The school manual, a compendium of the leading facts in English, by W.T ...

William Thomas Jeffcott - 1883 - 232 σελίδες
...Forces. If three forces acting upon a point can be represented in magnitude and direction by the three sides of a triangle taken in order, they will be in equilibrium. Conversely, if three forces acting npon a point be in equilibrium, and if any triangle be drawn whose sides are severally parallel or...




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