 | Robert Wallace Stewart - 1910 - 434 σελίδες
...the theorem states that if a number of coplanar forces acting at a point are in equilibrium, they can be represented in magnitude and direction by the sides of a polygon taken in order. Fig. 88. ' It is important to notice, however, that it cannot be said, as in the case of the triangle... | |
 | Sidney Luxton Loney - 1912 - 418 σελίδες
...opposite angles, we have PL LN _#0— sin LNO ~ sin LON ~ sin OLN ' PQ _ R smQOR siaROP smPOQ' 24. Polygon of Forces. If any number of forces, acting on a particle,...direction, by the sides of a polygon, taken in order, the forces shall be in equilibrium. 'PB Let the sides AB, BC, CD, DE, EF, and FA of the polygon ABCDEF... | |
 | Sir Horace Lamb - 1912 - 359 σελίδες
...under their joint action. This is the proposition known as the ' polygon of forces ' ; viz. if a system of forces acting on a particle be represented in magnitude and direction by the sides of a closed polygon taken in order, they are in equilibrium. The simplest case is that of two equal and... | |
 | George A. Hool - 1912 - 208 σελίδες
...order, then, if these forces be simultaneously applied at one point, they will balance each other. represented in magnitude and direction by the sides of a polygon taken in order. The above proposition may be shown to be true, if we consider the construction of the force polygon... | |
 | John T. Wight - 1913 - 256 σελίδες
...more general theorem, known as— The Polygon of Forces.—// any number of forces, acting on a point, be represented in magnitude and direction by the sides of a polygon taken in order, then these forces are in equilibrium; if the polygon does not close, then the closing line drawn from the... | |
 | Trinity College (Dublin, Ireland) - 1913 - 752 σελίδες
...forces of magnitudes 10 and 18 acting at a point at an angle sin"1 f with one another. 2. If three forces acting on a particle be represented in magnitude and direction by the sides of a triangle taken in order, they are in equilibrium. 3. Two men carry a weight W between them by two ropes... | |
 | Charles E. Fuller, William Atkinson Johnston - 1913 - 412 σελίδες
...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 conditions of equilibrium... | |
 | Joseph Gregory Horner - 1913 - 510 σελίδες
...expansion of the triangle of forces (qv), and which may be thus stated : — If any number of forces be represented in magnitude and direction by the sides of a polygon taken in order they will be in equilibrium. Polygone, Line of. — One of the sectorial scales by means of which any... | |
 | John Paul Kottcamp - 1915 - 202 σελίδες
...the same plane, acting at a given point on a body produce a state of equilibrium, these forces can be represented in magnitude and direction by the sides of a polygon taken in order. Conversely, if any number of forces P, FIG. 20. in the same plane acting at a given point on a body... | |
 | John Paul Kottcamp - 1915 - 202 σελίδες
...same plane, acting at a given point on a body produce a state of equilibrium, these forces can lie represented in magnitude and direction by the sides of a polygon taken in order. Conversely, if any number of forces Fia. 20. in the same plane acting at a given point on a body can... | |
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If any number of forces, acting on a particle, be represented, in magnitude and direction, by the sides of a polygon, taken in order, the forces shall be in equilibrium. 
