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 v
... single particle of matter ( as a particle of a fluid medium on the hypothesis of finite intervals ) , on ac- count ... force not true in fact , the law of the composition of forces acting on a point would still be true ; it is ...
... single particle of matter ( as a particle of a fluid medium on the hypothesis of finite intervals ) , on ac- count ... force not true in fact , the law of the composition of forces acting on a point would still be true ; it is ...
Page 6
... force in the opposite direc- tion to that in which there is a tendency to motion . This new force exactly counteracts the whole system of forces : but it might be itself counteracted by a single force equal to itself and acting in a ...
... force in the opposite direc- tion to that in which there is a tendency to motion . This new force exactly counteracts the whole system of forces : but it might be itself counteracted by a single force equal to itself and acting in a ...
Page 8
... forces acting , in the same line , upon the same point of a rigid body . If all the forces act in the same direction along the line ; they will produce the same effect as a single force equal to their sum . If some act in one direction ...
... forces acting , in the same line , upon the same point of a rigid body . If all the forces act in the same direction along the line ; they will produce the same effect as a single force equal to their sum . If some act in one direction ...
Page 15
... FORCES WHICH ACT UPON A PARTICLE , OR UPON THE SAME POINT OF A RIGID BODY , IN ANY DIRECTIONS NOT IN ONE PLANE ... single force represented by OE , for CD is a parallelogram . 34 . Three forces act upon a point in directions which ...
... FORCES WHICH ACT UPON A PARTICLE , OR UPON THE SAME POINT OF A RIGID BODY , IN ANY DIRECTIONS NOT IN ONE PLANE ... single force represented by OE , for CD is a parallelogram . 34 . Three forces act upon a point in directions which ...
Page 22
... one as can be represented by a single force . Upon these grounds we conclude , that a system of two equal forces acting in contrary directions on different points of a rigid body is not reducible to a single resultant . 43. DEFS . Such ...
... one as can be represented by a single force . Upon these grounds we conclude , that a system of two equal forces acting in contrary directions on different points of a rigid body is not reducible to a single resultant . 43. DEFS . Such ...
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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