## A Treatise on Statics: Containing the Theory of the Equilibrium of Forces; and Numerous Examples Illustrative of the General Principles of the Science |

### From inside the book

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**passes**through this point , x - a = Σ . F cos a y - b Σ . F cos B 2 - c = Σ . F cos y are the equations of it in this case . 38 . To find the conditions that the system of forces in Art . 36 may balance each other . It is evident that ... Page 22

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**passes**through the two lines in which the forces of a couple act , is called the plane of the couple . When the line ...**passing**through a certain point in the body , called the centre of gravity . 45. DEF . If the forces of the couple ... Page 31

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**passing**through O at right angles to the plane of the forces . Hence remembering that the point O was arbitrarily chosen , the conditions of equilibrium of parallel forces may be thus enunciated in words : The algebraic sum of the ... Page 33

... which it acts . Let x'y ' be the co - ordinates of any point in the line R'K ( fig . 16 ) in which the resultant acts . Then because D this line

... which it acts . Let x'y ' be the co - ordinates of any point in the line R'K ( fig . 16 ) in which the resultant acts . Then because D this line

**passes**through the point T and , being NON - PARALLEL FORCES IN A PLANE . 33. Page 34

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**passes**through the point T and , being parallel to OR , makes an angle with the axis Ox , its equation is y ' - OT = tan 0 . x ' , or y ' - Σ ( Xy - Yx ) ΣΥ ΣΥ == ΣΤ ' , or y'ΣX - x'ΣY = Σ ( Xy – Yx ) . 67. Any number of forces act in ...### 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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