A Treatise on Statics: Containing the Theory of the Equilibrium of Forces; and Numerous Examples Illustrative of the General Principles of the Science |
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Page 1
... effects which it produces : and hence , if in the same circumstances two forces produce equal effects , we infer that the forces are equal . 3. It is assumed , that the effect of two equal forces acting in concert , is double the effect ...
... effects which it produces : and hence , if in the same circumstances two forces produce equal effects , we infer that the forces are equal . 3. It is assumed , that the effect of two equal forces acting in concert , is double the effect ...
Page 3
... effect ( and that more convenient for our present purpose ) which may be taken as the measure or character- istic of ... effects of force . We may therefore take pressure as the measure of force , because both press- ure and motion are ...
... effect ( and that more convenient for our present purpose ) which may be taken as the measure or character- istic of ... effects of force . We may therefore take pressure as the measure of force , because both press- ure and motion are ...
Page 8
... effect as a single force equal to their sum . : If some act in one direction and some in the opposite direction , then by the first case the resultant of each set will be equal to the sum of the forces of which it is com- posed and ...
... effect as a single force equal to their sum . : If some act in one direction and some in the opposite direction , then by the first case the resultant of each set will be equal to the sum of the forces of which it is com- posed and ...
Page 19
... effect of a force is not altered by supposing it to be trans- ferred from one point of the body in the line of the direction of its action to another : from this it follows that if the directions of the forces which act at different ...
... effect of a force is not altered by supposing it to be trans- ferred from one point of the body in the line of the direction of its action to another : from this it follows that if the directions of the forces which act at different ...
Page 22
... effect is due to the action of F and F in this case , al- though not such an one as can be represented by a single ... effect of a pair of forces , acting in contrary directions at different points of a rigid body , whether they be equal ...
... effect is due to the action of F and F in this case , al- though not such an one as can be represented by a single ... effect of a pair of forces , acting in contrary directions at different points of a rigid body , whether they be equal ...
Common terms and phrases
A₁ axes axle balance beam Cambridge catenary centre of gravity chain co-ordinates conditions of equilibrium consequently cord cos² couple cylinder density direction distance draw equal to zero equation equi F₁ F₂ find the centre find the position fixed axis fixed point forces acting forces F friction frustum fulcrum given Hence horizontal plane inclined plane length lever librium m₁ machine magnitude motion moveable osculating plane parabola parallelogram parallelopiped particle passing perpendicular position of equilibrium pressure proportional pulley pyramid radii radius represent resolved respectively rest resultant right angles rigid body screw shew smooth string suppose surface suspended T₁ Taylor's theorem tension thread three forces triangle Trinity College University of Cambridge vertex virtual velocities weight wheel Wherefore ΣΖ ΣΥ ΣΧ
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