 | Charles E. Fuller, William Atkinson Johnston - Dynamics - 1913 - 412 pages
...plane and pass through the same paint, is in equilibrium the vector sum of the forces is zero; or, they can be represented in magnitude and direction by the sides of a polygon taken in order. These may be called the graphical conditions of equilibrium. In Art. 27, the... | |
 | John Paul Kottcamp - Mechanics, Applied - 1915 - 202 pages
...equally well if the angle COB was either acute or obtuse. KINETICS acting on a body at the same time can be represented in magnitude and direction by the sides of a parallelogram, the resultant velocity will be represented in magnitude and direction by the diagonal... | |
 | Robert Alexander Houstoun - Physics - 1919 - 246 pages
...polygon of forces, which is stated as follows : — • If any number of forces acting on a particle are represented in magnitude and direction by the sides of a closed polygon taken in order, then the forces are in equilibrium. If the lines representing the forces do not form a closed polygon,... | |
 | John Cox - Mechanics - 1919 - 362 pages
...first, and the diagram forms a closed polygon. Hence : If any number of forces acting at a point are represented in magnitude and direction by the sides of a closed polygon taken in order, they will be in equilibrium. This is known as the Polygon of Forces. 169. (b) Analytically. P P P»... | |
 | James Arnold Crowther - 1919 - 582 pages
...of the triangle ACD taken in order, and, as we have seen, they are in equilibrium. Thus — If three forces acting at a point can be represented in magnitude and direction by the three sides of a triangle taken in order, the particle will be in equilibrium. This proposition is... | |
 | William Watson - Physics - 1920 - 590 pages
...7. The conditions of equilibrium for any number of forces acting on a particle are that the forces can be represented in magnitude and direction by the sides of a closed polygon taken in order, ie drawn in the same sense as the forces. This at once follows from the polygon of forces, for the... | |
 | Arthur Morley - Mechanical engineering - 1920 - 314 pages
...These "external" forces acting on the frame consist of applied loads and reactions of supports ; they can be represented in magnitude and direction by the sides of a closed vector polygon ; also their positions are such that an indefinite number of closed funicular polygons... | |
 | S.T.G. Andrews and S.F. Benson - 1920 - 502 pages
...theorem known as the Polygon of Forces, which states: -If any number of forces acting on a particle can be represented in magnitude and direction by the sides of a polygon taken in order, the forces are in equilibrium.- The construction of stress diagrams is based... | |
 | Sydney Thomas Giles Andrews, Sydney Frederick Benson - Airplanes - 1920 - 508 pages
...theorem known as the Polygon of Forces, which states : 'If any number of forces acting on a particle can be represented in magnitude and direction by the sides of a polygon taken in order, the forces are in equilibrium.' The construction of stress diagrams is based... | |
 | William Watson - Physics - 1920 - 1406 pages
...54 The conditions of equilibrium for any number of forces acting on a particle are that the forces can be represented in magnitude and direction by the sides of a dosed polygon taken in order, ie. drawn in the same sense as the forces. This at once follows from... | |
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If any number of forces acting at a point can be represented in magnitude and direction by the sides of a POLYGON taken in order, they are in equilibrium. 
