A Treatise on Analytical Statics, with Numerous ExamplesMacmillan and Company, 1853 - 318 sider |
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Side 13
... similar notation for the other components , we have two forces re- placing the whole system , namely X along the axis of x and ΣY along that of y . If R denote the resultant of these forces and a the angle at which it is inclined to the ...
... similar notation for the other components , we have two forces re- placing the whole system , namely X along the axis of x and ΣY along that of y . If R denote the resultant of these forces and a the angle at which it is inclined to the ...
Side 16
... similar expression for the cosine of the angle between each pair of forces . Hence we obtain R2 = ΣP2 + 2ΣPP ' cos ( P , P ' ) , where by P , P ' we mean any two of the forces . = 29. The equation R cosa ΣP cosa , in Art . ( 26 ) ...
... similar expression for the cosine of the angle between each pair of forces . Hence we obtain R2 = ΣP2 + 2ΣPP ' cos ( P , P ' ) , where by P , P ' we mean any two of the forces . = 29. The equation R cosa ΣP cosa , in Art . ( 26 ) ...
Side 29
... . 37. If the force P act in a direction opposite to that of Q , P ' a similar process will lead us to R = Q - P , and x a B = Ꭱ Q Q - pi which may be derived from the formula of the preceding TWO PARALLEL FORCES . 29.
... . 37. If the force P act in a direction opposite to that of Q , P ' a similar process will lead us to R = Q - P , and x a B = Ꭱ Q Q - pi which may be derived from the formula of the preceding TWO PARALLEL FORCES . 29.
Side 39
... similar to those which apply to forces , the axis of the couple corresponding to the direction of the force and the moment of the couple to the intensity of the force . Hence for example , by Art . ( 29 ) , the resolved part of a ...
... similar to those which apply to forces , the axis of the couple corresponding to the direction of the force and the moment of the couple to the intensity of the force . Hence for example , by Art . ( 29 ) , the resolved part of a ...
Side 41
... similar manner , using a similar notation , and the whole system will be reduced to a force P1 + P2 + P2 + ......... or EP along Oy , and a couple P11 + P12 + Px + ......... or ΣPx in the plane of the forces and tending to turn the body ...
... similar manner , using a similar notation , and the whole system will be reduced to a force P1 + P2 + P2 + ......... or EP along Oy , and a couple P11 + P12 + Px + ......... or ΣPx in the plane of the forces and tending to turn the body ...
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A Treatise on Analytical Statics: With Numerous Examples Isaac Todhunter Uten tilgangsbegrensning - 1866 |
A Treatise on Analytical Statics: With Numerous Examples Isaac Todhunter Uten tilgangsbegrensning - 1866 |
A Treatise on Analytical Statics, with Numerous Examples Isaac Todhunter Uten tilgangsbegrensning - 1853 |
Vanlige uttrykk og setninger
angle attracted particle axes axis beam Cambridge centre of gravity circle coefficient of friction conditions of equilibrium cone constant coordinates cose cosß cosy couple Crown 8vo curve cylinder denote density displacement distance ds ds dx dy dy dz elastic string element ellipsoid equal equation equi find the centre fixed point forces acting frustum Hence horizontal plane inclined plane latus rectum law of attraction length lever mass origin P₁ P₂ parabola parallel forces passing point of application position of equilibrium pressure PROP pullies radius resolved rest resultant attraction rigid body round shell shew sine single force single resultant smooth solid sphere spheroid straight line suppose surface system of forces tangent tension triangle uniform vanish vertex virtual velocity weight ΣΖ ΣΡ ΣΥ ΣΧ
Populære avsnitt
Side 12 - Prize Essay for 1877. 8vo. 8.r. 6V. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Side 9 - Geometry. With a numerous collection of Easy Examples progressively arranged, especially designed for the use of Schools and Beginners. By G. HALE PUCKLE, MA, St. John's College, Cambridge, Mathematical Master in the Royal Institution School, Liverpool.
Side 7 - TODHUNTER.— A Treatise on the Differential Calculus ; and the Elements of the Integral Calculus. With numerous Examples. By I. TODHUNTER, MA, Fellow and Tutor of St. John's College, Cambridge. Second Edition. Crown 8vo. cloth, 10».
Side 13 - Problems proposed in the Senate House Examination, January 1854. By the Moderators (W. WALTON, MA Trinity College, and CF MACKENZIE, MA Fellow of Caius College). In 8vo. cloth, 10*.
Side 6 - The Evidences of Christianity as Exhibited in the Writings of its Apologists down to Augustine. An Essay which obtained the Hulsean Prize for the Year 1852. By WJ BOLTON, of Gonville and Caius College, Cambridge. 8vo. cloth, 6s.
Side 4 - Archer).— Works by the Rev. WILLIAM ARCHER BUTLER, MA, late Professor of Moral Philosophy in the University of Dublin : SERMONS, DOCTRINAL AND PRACTICAL. Edited, with a Memoir of the Author's Life, by THOMAS WOODWARD, Dean of Down.
Side 13 - FROST.— The First Three Sections of Newton's Principia. With Notes and Problems in illustration of the subject. By PERCIVAL FROST, MA late Fellow of St.
Side 4 - Present a richer combination of the qualities for Sermons of the first class than any we have met with in any living writer.