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 4
... position B ' . If the experiment be again tried with the same body P after any interval of time , it will be found ... find other substances P ' , P " , P " ... each of which being suspended from B will bend the spring exactly as P ...
... position B ' . If the experiment be again tried with the same body P after any interval of time , it will be found ... find other substances P ' , P " , P " ... each of which being suspended from B will bend the spring exactly as P ...
Page 20
... position of which we find as follows . Let PR cut AB in Q. Then because m is the resultant of F and f , a force equal to m applied at A in the direction AP would keep the two forces F , f in equilibrium ; and the three being parallel to ...
... position of which we find as follows . Let PR cut AB in Q. Then because m is the resultant of F and f , a force equal to m applied at A in the direction AP would keep the two forces F , f in equilibrium ; and the three being parallel to ...
Page 28
... position as if the parallelo- gram OADB were turned through a right angle about the fixed line OH . This figure OADB ... find their re- sultant . From any point O , draw OА , ОВ 0 equal and parallel to the axes of the two couples ...
... position as if the parallelo- gram OADB were turned through a right angle about the fixed line OH . This figure OADB ... find their re- sultant . From any point O , draw OА , ОВ 0 equal and parallel to the axes of the two couples ...
Page 38
... position of the positive axis of the couple . Let a be the inclinations of this axis to the axis of x . COS a = Σ ... find the conditions that the system of forces in Art . 71 may balance each other . We must consider the two cases ...
... position of the positive axis of the couple . Let a be the inclinations of this axis to the axis of x . COS a = Σ ... find the conditions that the system of forces in Art . 71 may balance each other . We must consider the two cases ...
Page 41
... find the resultant of three couples which act in different planes , no two of which are parallel . From any point O ... position of the resultant couple are known . 80. By means of the equations just given we may RESULTANT OF THREE ...
... find the resultant of three couples which act in different planes , no two of which are parallel . From any point O ... position of the resultant couple are known . 80. By means of the equations just given we may RESULTANT OF THREE ...
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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