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
Results 1-5 of 25
Page 6
... original system of forces ; and it is therefore called their resultant . 15. We thus learn that several forces , if they act upon a free particle , may be replaced by one force ; and the con- verse is evidently true , viz . , that one ...
... original system of forces ; and it is therefore called their resultant . 15. We thus learn that several forces , if they act upon a free particle , may be replaced by one force ; and the con- verse is evidently true , viz . , that one ...
Page 8
... original forces act in the same or in opposite directions , their resultant is equal to their algebraic sum . In forming this sum , we are to account those forces posi- tive which act in one direction , and those negative which act in ...
... original forces act in the same or in opposite directions , their resultant is equal to their algebraic sum . In forming this sum , we are to account those forces posi- tive which act in one direction , and those negative which act in ...
Page 9
... original components p and q ; the latter acting in the line EF , and the former in the line CE produced ; this we may suppose by Art . 21 to act at C , and the former at F ; also the force r may be supposed to act at C. We have now two ...
... original components p and q ; the latter acting in the line EF , and the former in the line CE produced ; this we may suppose by Art . 21 to act at C , and the former at F ; also the force r may be supposed to act at C. We have now two ...
Page 13
... original forces by these two sets of components . These components are respectively equivalent to two forces acting ... original forces , and sup- pose that is the angle which the line in which it acts makes with Ou . Then since R is ...
... original forces by these two sets of components . These components are respectively equivalent to two forces acting ... original forces , and sup- pose that is the angle which the line in which it acts makes with Ou . Then since R is ...
Page 17
... original forces by these three sets of components ; each set is reduced to one force by Art . 23 ; and we then have three forces Σ . F cos a , Σ . F cos ẞ , Σ . F cos y , acting in the lines Ox , Oy , Oz . Let R be the resultant ...
... original forces by these three sets of components ; each set is reduced to one force by Art . 23 ; and we then have three forces Σ . F cos a , Σ . F cos ẞ , Σ . F cos y , acting in the lines Ox , Oy , Oz . Let R be the resultant ...
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
Popular passages
Page 13 - The Greek Testament : with a critically revised Text ; a Digest of Various Readings ; Marginal References to Verbal and Idiomatic Usage ; Prolegomena ;"and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers. By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
Page 17 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester. Compiled, with some additional matter occasionally interspersed, for the use of the Students of Bishop's College, Calcutta, by WH MILL, DD late Principal of Bishop's College, and Regius Professor of Hebrew in the University of Cambridge.
Page 19 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Page 16 - Confirmation Day. Being a Book of Instruction for Young Persons how they ought to spend that solemn day, on which they renew the Vows of their Baptism, and are confirmed by the Bishop with prayer and the laying on of hands.
Page 19 - The Apology of Tertullian. With English Notes and a Preface, intended as an Introduction to the Study of Patristical and Ecclesiastical Latinity. By HA WOODHAM, LL.D. Second Edition. 8vo. 8*.
Page 23 - The THEATRE of the GREEKS. A series of Papers relating to the History and Criticism of the Greek Drama.
Page 13 - An Historical and Explanatory Treatise on the Book of Common Prayer. Second Edition, enlarged and revised. Post 8vo. Ts. 6d. KEELING (REV. W.) Liturgise Britannicse, or the several Editions of the Book of Common Prayer of the Church of England...
Page 14 - Annotations on the Acts of the Apostles. Original and selected. Designed principally for the use of Candidates for the Ordinary BA Degree, Students for Holy Orders, &c., with College and Senate-House Examination Papers. By the Rev. TR MASKEW, MA Second Edition, enlarged. 12mo. 5».
Page 6 - Problems and Examples, adapted to the " Elementary Course of Mathematics." With an Appendix, containing the Questions proposed during the first three days of the Senate House • Examination.