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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. "
The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ... - Σελίδα 492
των William Kent - 1895 - 1100 σελίδες
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A Treatise on Elementary Statics, Τόμος 12

James Hamblin Smith - 1868 - 102 σελίδες
...in magnitude the resultant of AB, AC. 20. THE TRIANGLE OF FORCES. 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. Let AB, BC, CA, the sides of the triangle ABC...

An Elementary Course of theoretical and applied Mechanics, etc

Richard Wormell - 1869 - 270 σελίδες
...construction we may at once deduce the following proposition. When a 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. Parallelepiped of Forces. 34. If three forces,...

A Dictionary of Science: Comprising Astronomy, Chemistry, Dynamics ...

George Farrer Rodwell - 1871 - 620 σελίδες
...side completing the polygon. From this it follows that when a number of forces acting upon a particle can be represented in magnitude and direction by the sides of a closed polygon taken in order, the forces are in equilibrium. (See ParaUeloyram of forces, Trianyle of Forces.) POLYZONAL LENS. Sir David...

Elementary statics

James Hamblin Smith - 1871 - 148 σελίδες
...converse of this proposition is true, that is, if three forces, acting at a point be in equilibrium, they can be represented in magnitude and direction by the sides of a triangle, taken in order. This is a particular case of a more general theorem, which we now proceed...

Course in Elementary Physics

Charles Robert Cross - 1873 - 182 σελίδες
...opposite to the remaining force. 89. Conversely, if the forces acting at a point are in equilibrium, they can be represented in magnitude and direction by the sides of a polygon drawn parallel to their lines of action. The proof of this proposition is evidently precisely...

Natural philosophy. Mechanics, Τόμος 1

J Alfred Skertchly - 1873 - 184 σελίδες
...other forces. Also : — Whenever any number of forces, acting on a point, are so disposed that they can be represented in. magnitude and direction by the sides of a polygon, or other geometrical figure, taken in order, the forces are in equilibrium. Hence it follows...

The Madras University Calendar, Τόμος 1

University of Madras - 1874 - 502 σελίδες
...resultant. Prove this for parallel forces. III. If any number of forces acting through the same point can be represented in magnitude and direction by the sides of a closed polygon taken in order, those forces balance each other. IV. A block of wood weighing 200 Ibs. rests On a plank inclined to...

Lessons in Elementary Mechanics Introductory to the Study of Physical ...

Sir Philip Magnus - 1875 - 352 σελίδες
...would have remained at rest. If, therefore, the several velocities, with which the body tends to move, can be represented in magnitude and direction by the...of a closed polygon taken in order, the body will be at rest; but if the velocities are represented by the sides of an open polygon, the body will move,...

Lessons in elementary mechanics

sir Philip Magnus (1st bart.) - 1876 - 368 σελίδες
...would have remained at rest. If, therefore, the several velocities, with which the body tends to move, can be represented in magnitude and direction by the...of a closed polygon taken in order, the body will be at rest ; but if the velocities are represented by the sides of an open polygon, the body will move,...

The Elements of Analytic Mechanics: Solids & Fluids

De Volson Wood - 1876 - 500 σελίδες
...opposite, we have F = P ein P,R sin f$B R sn (iS) POLYGON OF FOHCES. 45. If several ioncurrent forces are represented in magnitude and direction by the sides of a closed polygon taken in their order, they mill be in equilibrium. This may be proved by finding the resultant of two forces...




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