A Treatise on Analytical Statics, with Numerous ExamplesMacmillan and Company, 1853 - 318 sider |
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Side 11
... angle a on a particle , the resultant R is given by the equation R2 = P2 + Q2 + 2PQ cos a . 19. When three forces acting on a particle are in equi- librium , they are respectively in the same proportion as the sines of the angles ...
... angle a on a particle , the resultant R is given by the equation R2 = P2 + Q2 + 2PQ cos a . 19. When three forces acting on a particle are in equi- librium , they are respectively in the same proportion as the sines of the angles ...
Side 13
... angle at which it is inclined to the axis of x , we have , by Art . ( 17 ) , R2 = ( ΣX ) 2 + ( ΣY ) ” , Also ΣΥ tana = ΣΧ ΣΥ ΣΥ cos α = R ; sin α = R 23. PROP . To find the conditions of equilibrium when any number of forces act upon a ...
... angle at which it is inclined to the axis of x , we have , by Art . ( 17 ) , R2 = ( ΣX ) 2 + ( ΣY ) ” , Also ΣΥ tana = ΣΧ ΣΥ ΣΥ cos α = R ; sin α = R 23. PROP . To find the conditions of equilibrium when any number of forces act upon a ...
Side 15
... angles a , b , c with three rect- angular axes fixed in space , may be replaced by the three forces R cos a , R cos b , R cos c , acting simultaneously on the particle on which R acts , and having their directions parallel to the axes ...
... angles a , b , c with three rect- angular axes fixed in space , may be replaced by the three forces R cos a , R cos b , R cos c , acting simultaneously on the particle on which R acts , and having their directions parallel to the axes ...
Side 16
... angle between each pair of forces . Hence we obtain R2 = ΣP2 + 2ΣPP ' cos ( P , P ' ) , where by P , P ' we mean any ... angles a ' , B ' , y ' . Take the three equations of Art . ( 26 ) , R cosa = P cosa , + P2 cosa2 + ...... R cosb = P ...
... angle between each pair of forces . Hence we obtain R2 = ΣP2 + 2ΣPP ' cos ( P , P ' ) , where by P , P ' we mean any ... angles a ' , B ' , y ' . Take the three equations of Art . ( 26 ) , R cosa = P cosa , + P2 cosa2 + ...... R cosb = P ...
Side 17
... angles which P1 , P ... make with the arbitrarily drawn line , and the angle which the resultant R makes with it , we have , by the formula quoted in Art . ( 28 ) , 19 R cose P , cose , + P2 cose , + = 1 2 2 30. From Art . ( 20 ) it is ...
... angles which P1 , P ... make with the arbitrarily drawn line , and the angle which the resultant R makes with it , we have , by the formula quoted in Art . ( 28 ) , 19 R cose P , cose , + P2 cose , + = 1 2 2 30. From Art . ( 20 ) it is ...
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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.