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 23
... axes . 48. The effect of a couple is not altered by 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 ...
... axes . 48. The effect of a couple is not altered by 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 ...
Page 27
... axes equal and parallel . 55. If from a point two straight lines be drawn parallel and equal to the axes of two couples , and upon them a parallelogram be described , the diagonal drawn from the same point will be parallel and equal to ...
... axes equal and parallel . 55. If from a point two straight lines be drawn parallel and equal to the axes of two couples , and upon them a parallelogram be described , the diagonal drawn from the same point will be parallel and equal to ...
Page 28
... axes . If therefore from O in the plane OBA , we draw three lines respectively perpendicular and equal to OA , OB , OD , they will be the axes of the three couples , and will then take the same position as if the parallelo- gram OADB ...
... axes . If therefore from O in the plane OBA , we draw three lines respectively perpendicular and equal to OA , OB , OD , they will be the axes of the three couples , and will then take the same position as if the parallelo- gram OADB ...
Page 32
... axes refer the given forces and their points of application . ( fig . 15. ) 1 1 0 Let a1 , a2 .... a , be the inclinations of the lines in which the forces act to Ox ; x1Y1 , x2Y2 , .... xy , the co - ordinates of the points of ...
... axes refer the given forces and their points of application . ( fig . 15. ) 1 1 0 Let a1 , a2 .... a , be the inclinations of the lines in which the forces act to Ox ; x1Y1 , x2Y2 , .... xy , the co - ordinates of the points of ...
Page 34
... axes Ox , Oy , were arbitrarily chosen in the plane of the forces , we may enunciate the conditions of equilibrium as follows : The algebraic sums of the components of the forces parallel to any two lines at right angles to each other ...
... axes Ox , Oy , were arbitrarily chosen in the plane of the forces , we may enunciate the conditions of equilibrium as follows : The algebraic sums of the components of the forces parallel to any two lines at right angles to each other ...
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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