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 60
... tension . This tension is the same for both , but acts upon them in opposite directions , viz . , either to draw them towards each other , or to push them asunder . Hence it follows , that for the tensions acting between A and B , Tds + ...
... tension . This tension is the same for both , but acts upon them in opposite directions , viz . , either to draw them towards each other , or to push them asunder . Hence it follows , that for the tensions acting between A and B , Tds + ...
Page 61
... tensions , reactions of smooth fixed obstacles , and mutual pressures of smooth bodies of the system , the sum of the products of each tension , reaction , and pressure , into the corresponding virtual velocity of the point on which it ...
... tensions , reactions of smooth fixed obstacles , and mutual pressures of smooth bodies of the system , the sum of the products of each tension , reaction , and pressure , into the corresponding virtual velocity of the point on which it ...
Page 62
... tensions T1 , T ... Tq , and the reactions and pressures R1 , R2 , ... R . , we may con- sider that point as free , and kept in equilibrium by the action of all these sets of forces . Let a B1y1 , a2 B2 Y2 ... αp Bp Yp be the angles ...
... tensions T1 , T ... Tq , and the reactions and pressures R1 , R2 , ... R . , we may con- sider that point as free , and kept in equilibrium by the action of all these sets of forces . Let a B1y1 , a2 B2 Y2 ... αp Bp Yp be the angles ...
Page 63
... tensions along the lines which join points of the same body , and also those which act along rods and cords connecting two points of separate bodies of the system ; and likewise the reactions of fixed points , and surfaces , and the ...
... tensions along the lines which join points of the same body , and also those which act along rods and cords connecting two points of separate bodies of the system ; and likewise the reactions of fixed points , and surfaces , and the ...
Page 125
... tension of the rope . Hence tension is a force which is exerted equally in every part , tends from the extremities of a cord towards the middle , and is always equal to either of the equal forces , by which the cord is stretched . If ...
... tension of the rope . Hence tension is a force which is exerted equally in every part , tends from the extremities of a cord towards the middle , and is always equal to either of the equal forces , by which the cord is stretched . If ...
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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