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 iii
... fixed point or axis of support by the action of forces when there is equilibrium . These will be found useful in those Problems of Dynamics wherein it is required to find the pressure which a rigid body in motion , under the influence ...
... fixed point or axis of support by the action of forces when there is equilibrium . These will be found useful in those Problems of Dynamics wherein it is required to find the pressure which a rigid body in motion , under the influence ...
Page 4
... fixed in an immoveable block . Suspend a proposed sub- stance P from the other end B , then the spring will be bent in the manner represented in fig . 1 , the point B taking a position B ' . If the experiment be again tried with the ...
... fixed in an immoveable block . Suspend a proposed sub- stance P from the other end B , then the spring will be bent in the manner represented in fig . 1 , the point B taking a position B ' . If the experiment be again tried with the ...
Page 16
... point ; to find their resultant . Let 0 ( fig . 7 ) be the point upon which the given forces F1 , F2 , F3 ... F ... fixed lines . The respective components of the F1 cos a1 , F2 cos α2 , ... 1 2 given forces are F2 cos an n in the direction ...
... point ; to find their resultant . Let 0 ( fig . 7 ) be the point upon which the given forces F1 , F2 , F3 ... F ... fixed lines . The respective components of the F1 cos a1 , F2 cos α2 , ... 1 2 given forces are F2 cos an n in the direction ...
Page 17
... fix the direction in which R acts . 37. To find the equations of the line in which the resultant acts . Suppose OP ( fig . 7 ) the line in which the resultant acts ; and let x , y , ≈ be the co - ordinates of any point ... point at which the ...
... fix the direction in which R acts . 37. To find the equations of the line in which the resultant acts . Suppose OP ( fig . 7 ) the line in which the resultant acts ; and let x , y , ≈ be the co - ordinates of any point ... point at which the ...
Page 28
... fixed line OH . This figure OADB so turned is the paral- lelogram stated in the enunciation of the proposition to ... point 0 , draw OA , OB 0 equal and parallel to the axes of the two couples . Complete the rectangle OACB , and draw its ...
... fixed line OH . This figure OADB so turned is the paral- lelogram stated in the enunciation of the proposition to ... point 0 , draw OA , OB 0 equal and parallel to the axes of the two couples . Complete the rectangle OACB , and draw its ...
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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