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 4
... represented in fig . 1 , the point B taking a position B ' . If the experiment be again tried with the same body P after any interval of time , it will be found that the spring will be bent exactly as at first ; thus shewing that the ...
... represented in fig . 1 , the point B taking a position B ' . If the experiment be again tried with the same body P after any interval of time , it will be found that the spring will be bent exactly as at first ; thus shewing that the ...
Page 5
... represented , by a weight . 11. To avoid circumlocution , when a body is prevented by an obstacle from moving , it is usual to say that the body exerts a pressure upon the obstacle , and that the obstacle exerts an equal pressure upon ...
... represented , by a weight . 11. To avoid circumlocution , when a body is prevented by an obstacle from moving , it is usual to say that the body exerts a pressure upon the obstacle , and that the obstacle exerts an equal pressure upon ...
Page 8
... rigid body is that their sum shall be equal to zero . 25. DEF . Lines are said to represent forces in mag- nitude and direction , when they are drawn parallel to the directions in which the forces act , and have their.
... rigid body is that their sum shall be equal to zero . 25. DEF . Lines are said to represent forces in mag- nitude and direction , when they are drawn parallel to the directions in which the forces act , and have their.
Page 9
... representing two forces which act upon a point ; and if upon these lines a parallelogram be constituted , the diagonal drawn from the same point will represent the resultant of the two forces . This property is usually cited as " the ...
... representing two forces which act upon a point ; and if upon these lines a parallelogram be constituted , the diagonal drawn from the same point will represent the resultant of the two forces . This property is usually cited as " the ...
Page 10
... represents its magnitude . For in EA produced take AF to represent its magnitude ; then AB , AC , AF represent three forces which balance each other : wherefore completing the parallelogram AFGB , its diagonal AG represents the ...
... represents its magnitude . For in EA produced take AF to represent its magnitude ; then AB , AC , AF represent three forces which balance each other : wherefore completing the parallelogram AFGB , its diagonal AG represents the ...
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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