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 5
... opposite directions upon the same point of a body , counteract each other : but it is conceivable that if several pressures be applied to a body , even though they be not two and two in opposite directions , nor all applied to the same ...
... opposite directions upon the same point of a body , counteract each other : but it is conceivable that if several pressures be applied to a body , even though they be not two and two in opposite directions , nor all applied to the same ...
Page 7
... opposite direction to , the resultant of all the rest . 21. It is proved by experiment , that when a rigid body is in equilibrium , any point ( of the body ) in the line of the direction in which a force acts , may be taken for the ...
... opposite direction to , the resultant of all the rest . 21. It is proved by experiment , that when a rigid body is in equilibrium , any point ( of the body ) in the line of the direction in which a force acts , may be taken for the ...
Page 8
... opposite direction , then by the first case the resultant of each set will be equal to the sum of the forces of which it is com- posed and these two resultants , acting in opposite directions , will be equivalent to a single resultant ...
... opposite direction , then by the first case the resultant of each set will be equal to the sum of the forces of which it is com- posed and these two resultants , acting in opposite directions , will be equivalent to a single resultant ...
Page 15
... 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 OA , OB represent two forces ...
... 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 OA , OB represent two forces ...
Page 19
... direction of the respective forces : join A , B ; at these points in opposite directions along the line AB apply any two equal forces f , f . These being in equilibrium produce no effect . Now F and f ( by Art . 26 ) C 2.
... direction of the respective forces : join A , B ; at these points in opposite directions along the line AB apply any two equal forces f , f . These being in equilibrium produce no effect . Now F and f ( by Art . 26 ) C 2.
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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