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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Mathematical Formulae: For the Use of Candidates Preparing for the Army ...

R. M. Milburn - 1880 - 100 σελίδες
...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).

Joshua Joseph J. Doherty - 1881
...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].

1882
...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

William James Browne - 1883 - 200 σελίδες
...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

Isaac Sharpless, George Morris Philips - 1883 - 350 σελίδες
...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

Edward Albert Bowser - 1884 - 511 σελίδες
...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 ...

Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV - 1885
...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...

Mechanics of the Girder: A Treatise on Bridges and Roofs, in which the ...

John Davenport Crehore - 1886 - 575 σελίδες
...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...




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