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 121
... beams and other materials , which are intend- ed to be rigid , the resistance of the air , & c .; but the intro- duction of the consideration of these things , though very important in a practical point of view , would only tend to ...
... beams and other materials , which are intend- ed to be rigid , the resistance of the air , & c .; but the intro- duction of the consideration of these things , though very important in a practical point of view , would only tend to ...
Page 148
... beam is a little below C. In this state the balance when unloaded ought to rest with its beam AB in a horizontal position . If a weight be put into one of the scales , the common centre of gravity of the scale and its load will be in ...
... beam is a little below C. In this state the balance when unloaded ought to rest with its beam AB in a horizontal position . If a weight be put into one of the scales , the common centre of gravity of the scale and its load will be in ...
Page 149
... beam . ( 2 ) By diminishing the distance of its centre of gravity from the fulcrum . ( 3 ) By diminishing its weight . For further information on subjects connected wth the common balance , the reader is referred to Captain Kater's ...
... beam . ( 2 ) By diminishing the distance of its centre of gravity from the fulcrum . ( 3 ) By diminishing its weight . For further information on subjects connected wth the common balance , the reader is referred to Captain Kater's ...
Page 150
... beam AB , at which point we may suppose its weight w collected . And let P , a given weight suspended from p , balance W , the body to be weighed suspended from B. Then ( Art . 194 ) P.Cp + w.CG = W. CB ; ... W = P.Cp + w.CG CB × P. Cp ...
... beam AB , at which point we may suppose its weight w collected . And let P , a given weight suspended from p , balance W , the body to be weighed suspended from B. Then ( Art . 194 ) P.Cp + w.CG = W. CB ; ... W = P.Cp + w.CG CB × P. Cp ...
Page 151
... beam is horizontal , and by its place on the graduated beam AB the weight of the substance put into the scale - pan is determined . The method of graduating the beam AB may be thus investigated . Let G be the centre of gravity of the ...
... beam is horizontal , and by its place on the graduated beam AB the weight of the substance put into the scale - pan is determined . The method of graduating the beam AB may be thus investigated . Let G be the centre of gravity of the ...
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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