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 19
... turn we may transfer to any convenient point of the rigid body which happens to lie in the line of its direction . It is obvious , that when any two forces in the same plane act upon a rigid body at different points , their directions ...
... turn we may transfer to any convenient point of the rigid body which happens to lie in the line of its direction . It is obvious , that when any two forces in the same plane act upon a rigid body at different points , their directions ...
Page 22
... turn the body round in the direction of the motion of the hands of a watch , it is called a right - handed couple , and more frequently a positive couple ; but if , as in fig . 9 , the forces act so as to turn the body in the contrary ...
... turn the body round in the direction of the motion of the hands of a watch , it is called a right - handed couple , and more frequently a positive couple ; but if , as in fig . 9 , the forces act so as to turn the body in the contrary ...
Page 23
... turning its arm through any angle in the plane of the couple . Let F and F be the equal forces of a couple acting at two points in the lines FA , FB ( fig . 10 ) , and having the arm AB . From A , any point in the line in which F acts ...
... turning its arm through any angle in the plane of the couple . Let F and F be the equal forces of a couple acting at two points in the lines FA , FB ( fig . 10 ) , and having the arm AB . From A , any point in the line in which F acts ...
Page 25
... turn the arm ab through any angle without altering the effect of the couple . Hence the effect of a couple , & c . 50. The effect of a couple is not altered by removing it to any other part of the rigid body in its own plane . The ...
... turn the arm ab through any angle without altering the effect of the couple . Hence the effect of a couple , & c . 50. The effect of a couple is not altered by removing it to any other part of the rigid body in its own plane . The ...
Page 31
... turn the body about 0 ; and there- fore that there may be equilibrium , it is necessary and suffi- cient that or , in words , Σ . Fx = 0 ; The sum of the moments of the forces about the fixed point , or about that point where the fixed ...
... turn the body about 0 ; and there- fore that there may be equilibrium , it is necessary and suffi- cient that or , in words , Σ . Fx = 0 ; The sum of the moments of the forces about the fixed point , or about that point where the fixed ...
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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