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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.
The Elements of Analytical Mechanics - Σελίδα 67
των De Volson Wood - 1882 - 249 σελίδες
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## Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

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...resultant in magnitude and direction. 24. Triangle of Forces. — 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. Conversely : If three forces acting at a point be in equilibrium,...

## The Cambridge Examiner, Τόμος 1

1881
...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...

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

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...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...

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

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...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 of a triangle taken in order, they will be in equilibrium. And, conversely, if three forces acting at a point balance each...

## Mechanics for junior students

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...In a similar way it can be shown that if any number of forces, in the same plane, acting at a point, are in equilibrium, they may be represented, in magnitude and direction, by the sides of a polygon taken in order. Fo^ combining any two of the forces by the triangle of forces, say AB, BC (Fig....

## Principles of Mechanics

Thomas Minchin Goodeve - 1883 - 352 σελίδες
...as the triangle of forces. THE TRIANGLE AND POLYGON OF FORCES. 48. If three forces acting on a point be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium. Let ABD be a triangle, whose sides, AB, BD, DA, taken in order,...

## Natural Philosophy

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...the letters) will form a system which is balanced. We have a general truth that if three forces are represented in magnitude and direction by the sides of a triangle taken in order, the system is balanced. 60. Resultant of any Number of Forces.—If more than two forces act...

## An Elementary Treatise on Analytic Mechanics: With Numerous Examples

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...the three forces act at the point A. The converse of this is also true ; viz., If three concurring forces are in equilibrium, they may be represented...magnitude and direction by the sides of a triangle, drawn parallel respectively to the directions of the forces. Thus, if AB and BC represent two forces...

## Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term ...

...forces act that their resultant may equal each of them? 4. Prove that 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. Two forces acting at a point at right angles to one another are...

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...same point, with their lines of action in the same plane, are in equilibrium, then the given forces may be represented, in magnitude and direction, by the sides of a closed polygon ; the direction being, for each side, that of a point traversing the perimeter. This...