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 9
... suppose it to act at E ; and we may there resolve it into its original components p and q ; the latter acting in the line EF , and the former in the line CE produced ; this we may suppose by Art . 21 to act at C , and the former at F ...
... suppose it to act at E ; and we may there resolve it into its original components p and q ; the latter acting in the line EF , and the former in the line CE produced ; this we may suppose by Art . 21 to act at C , and the former at F ...
Page 11
... suppose that one of these ( AB suppose ) represents also the magnitude of its force P : if BE do not represent the magnitude of the other force Q , take BE ' to represent it , and join AE ' . Then ( by the former case ) P , Q and a ...
... suppose that one of these ( AB suppose ) represents also the magnitude of its force P : if BE do not represent the magnitude of the other force Q , take BE ' to represent it , and join AE ' . Then ( by the former case ) P , Q and a ...
Page 17
... Suppose OP ( fig . 7 ) the line in which the resultant acts ; and let x , y , ≈ be the co - ordinates of any point P in it . Then if OP be taken to represent R , the co - ordinates will represent the components , and therefore by Art ...
... Suppose OP ( fig . 7 ) the line in which the resultant acts ; and let x , y , ≈ be the co - ordinates of any point P in it . Then if OP be taken to represent R , the co - ordinates will represent the components , and therefore by Art ...
Page 19
... suppose them to act in the same direction . Let A , B ( fig . 8 ) be any two points of the rigid body in the lines of direction of the respective forces : join A , B ; at these points in opposite directions along the line AB apply any ...
... suppose them to act in the same direction . Let A , B ( fig . 8 ) be any two points of the rigid body in the lines of direction of the respective forces : join A , B ; at these points in opposite directions along the line AB apply any ...
Page 20
... suppose ) acting in certain directions Am , Bn within the angles FAƒ , and F'Bƒ ' : these lines being produced will meet in some point P to which let m , n be transferred : and let them there be resolved into their original components ...
... suppose ) acting in certain directions Am , Bn within the angles FAƒ , and F'Bƒ ' : these lines being produced will meet in some point P to which let m , n be transferred : and let them there be resolved into their original components ...
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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