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 8
... point of a 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.
... point of a 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
... drawn representing two forces which act upon a point ; and if upon these lines a parallelogram be constituted , the ... draw the diagonals as in fig . 2. The resultant of p and q acts in the direction AE , by hypothesis ; and we may by ...
... drawn representing two forces which act upon a point ; and if upon these lines a parallelogram be constituted , the ... draw the diagonals as in fig . 2. The resultant of p and q acts in the direction AE , by hypothesis ; and we may by ...
Page 10
... drawn parallel and equal to BE , it also repre- sents the force Q. Hence the resultant of P and Q is repre- sented by AE ; which being equal , and in a contrary direction , to EA which represents R , there is equilibrium . Conversely ...
... drawn parallel and equal to BE , it also repre- sents the force Q. Hence the resultant of P and Q is repre- sented by AE ; which being equal , and in a contrary direction , to EA which represents R , there is equilibrium . Conversely ...
Page 12
... draw the diagonal OP . This line by Art . 26 represents the resultant of X and Y. Let R be the resultant , and the angle POM which its direction makes with the direction of the force X. Now OP2 OM2 + MP2 ; = .. R2 . x2 + y2 , = which ...
... draw the diagonal OP . This line by Art . 26 represents the resultant of X and Y. Let R be the resultant , and the angle POM which its direction makes with the direction of the force X. Now OP2 OM2 + MP2 ; = .. R2 . x2 + y2 , = which ...
Page 15
... drawn from that point to the opposite corner will represent their resultant . For let OA , OB , OC ( fig . 6 ) be the edges which repre- sent the three forces , and OE the diagonal of the parallelo- piped : draw OD , CE . Then because ...
... drawn from that point to the opposite corner will represent their resultant . For let OA , OB , OC ( fig . 6 ) be the edges which repre- sent the three forces , and OE the diagonal of the parallelo- piped : draw OD , CE . Then because ...
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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