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 48
... cylinder will be the locus of the origins , which will give equal resultant couples . 91. To find the conditions that the forces in Art . 81 may balance each other when the body upon which they act is free . ( 1 ) Suppose the direction ...
... cylinder will be the locus of the origins , which will give equal resultant couples . 91. To find the conditions that the forces in Art . 81 may balance each other when the body upon which they act is free . ( 1 ) Suppose the direction ...
Page 76
... cylinder the middle point of its axis . ( 3 ) That the centre of gravity of any figure of revo- lution is some point in the axis . 144. When we speak of the centre of gravity of a line , or of a plane figure , it is to be understood ...
... cylinder the middle point of its axis . ( 3 ) That the centre of gravity of any figure of revo- lution is some point in the axis . 144. When we speak of the centre of gravity of a line , or of a plane figure , it is to be understood ...
Page 118
... cylinder bent into the form of a portion of a ring . The area of the base of this cylinder is 8A 118 GULDIN'S PROPERTIES .
... cylinder bent into the form of a portion of a ring . The area of the base of this cylinder is 8A 118 GULDIN'S PROPERTIES .
Page 119
... cylinder is 8A , and its length is yo , consequently the volume generated by SA = OydA ; ΘΣ and therefore the whole volume generated = 0Σ ( ydA ) . But if be the distance of the centre of gravity of the y area A from the fixed axis , we ...
... cylinder is 8A , and its length is yo , consequently the volume generated by SA = OydA ; ΘΣ and therefore the whole volume generated = 0Σ ( ydA ) . But if be the distance of the centre of gravity of the y area A from the fixed axis , we ...
Page 131
... cylinder and a wheel firmly attached to each other , and being moveable about a fixed axis coinciding with the axis of the cylinder , and passing through the centre of the wheel at right angles to its plane , as in fig . 50 . The power ...
... cylinder and a wheel firmly attached to each other , and being moveable about a fixed axis coinciding with the axis of the cylinder , and passing through the centre of the wheel at right angles to its plane , as in fig . 50 . The power ...
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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