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 59
... of the same rigid body , ( or of two different bodies connected in such a manner by a rod or cord AB that the distance between them does not change , ) their influence upon each other is exerted PRINCIPLE OF VIRTUAL VELOCITIES . 59.
... of the same rigid body , ( or of two different bodies connected in such a manner by a rod or cord AB that the distance between them does not change , ) their influence upon each other is exerted PRINCIPLE OF VIRTUAL VELOCITIES . 59.
Page 60
... exerted along the line AB , and is called 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 ...
... exerted along the line AB , and is called 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 ...
Page 61
... exerted by each against the other , and dr , dr ' the virtual velocities , Rdr + R'dr ' = 0 . 112. From the last three Articles , it appears that in any system of bodies kept in equilibrium by the action of external forces , and by ...
... exerted by each against the other , and dr , dr ' the virtual velocities , Rdr + R'dr ' = 0 . 112. From the last three Articles , it appears that in any system of bodies kept in equilibrium by the action of external forces , and by ...
Page 70
... exerts an equal force on all equal portions of matter ; and that the weight of a body at a given place , measured ac- cording to the principles laid down in Arts . 7-10 , is pro- portional to the quantity of matter in the body : that is ...
... exerts an equal force on all equal portions of matter ; and that the weight of a body at a given place , measured ac- cording to the principles laid down in Arts . 7-10 , is pro- portional to the quantity of matter in the body : that is ...
Page 71
... exerts on the different parts always passes in every position of the body or system . This point is called the ... exerted upon a unit of matter by g ; then the force exerted on each molecule = mg . And if 1 Y11 , X2 Y2 x2 , ... be ...
... exerts on the different parts always passes in every position of the body or system . This point is called the ... exerted upon a unit of matter by g ; then the force exerted on each molecule = mg . And if 1 Y11 , X2 Y2 x2 , ... be ...
Common terms and phrases
a₁ axle balance beam Cambridge catenary centre of gravity College components conditions of equilibrium consequently cos² curve cylinder density direction distance draw dx)² equal to zero equation equi exerts F₁ F₂ find the centre find the conditions find the position fixed axis fixed point forces acting forces F forces which act friction frustum fulcrum Hence horizontal plane inclined plane John Deighton length lever librium m₁ machine magnitude motion parallelogram particle passing perpendicular position of equilibrium pressure proportional pulley pyramid radius represent resolved respectively rest resultant couple right angles rigid body screw shew single force smooth string suppose surface suspended Taylor's theorem tension three forces transposed triangle Trinity College University of Cambridge virtual velocities wheel Wherefore ΣΖ ΣΥ ΣΧ
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