Solutions of the Problems and Riders Proposed in the Senate-house Examination for 1854Macmillan, 1854 - 225 páginas This Elibron Classics title is a reprint of the original edition published by Macmillan and Co. in Cambridge, 1854. |
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Página 33
... sin 0 = r cos . tan ( 0+ a ) - 9 ( r cos 0 ) 2 2 V2 * cos2 ( 0+ a ) r { sino cos ( 0 + a ) — cose.sin ( @ + a ) } cos ( 0 + a ) r sina . ( cose cosa - x cota - or y y = = x cota = - 9 9 272 ( r cose ) 2 2√2 sinė sina ) = ( cose ) 2 9 2 ...
... sin 0 = r cos . tan ( 0+ a ) - 9 ( r cos 0 ) 2 2 V2 * cos2 ( 0+ a ) r { sino cos ( 0 + a ) — cose.sin ( @ + a ) } cos ( 0 + a ) r sina . ( cose cosa - x cota - or y y = = x cota = - 9 9 272 ( r cose ) 2 2√2 sinė sina ) = ( cose ) 2 9 2 ...
Página 39
... sin 0 , dt2 m - R sin 0 , m d'x ' dt2 d3y ' dt2 = R cose - mg . x ' From the geometry , As far as the first order of small = x + a sin , y ' = α quantities , a cose . d2x μ = Re , m d2x + a d20 dť2 dt dť2 = - ᎡᎾ . 0 = R― mg . d20 + dt ...
... sin 0 , dt2 m - R sin 0 , m d'x ' dt2 d3y ' dt2 = R cose - mg . x ' From the geometry , As far as the first order of small = x + a sin , y ' = α quantities , a cose . d2x μ = Re , m d2x + a d20 dť2 dt dť2 = - ᎡᎾ . 0 = R― mg . d20 + dt ...
Página 40
... sin 0 . dt2 For the motion of AC , we have ти d2 cose ( 2a - u ) = - a dt2 X , mu ( 2a - u ) w2 cos 0 = X ............... ... ( 1 ) . a mu и α d2 sin e dt2 = S - Y , mu2 w2 sin 0 = Y S ― a μ = ( S + Y ) u cose + Xu sin 0 ...... For ...
... sin 0 . dt2 For the motion of AC , we have ти d2 cose ( 2a - u ) = - a dt2 X , mu ( 2a - u ) w2 cos 0 = X ............... ... ( 1 ) . a mu и α d2 sin e dt2 = S - Y , mu2 w2 sin 0 = Y S ― a μ = ( S + Y ) u cose + Xu sin 0 ...... For ...
Página 41
... ( 2a — u ) — 2 ( a2 — u * ) — u * } { u - w'u sine cos 0.2a ( u — a ) - 2mw2 . u sin . ( a — u ) cos - - - mw2 . 2u sin 0. ( 2a – 2u ) cos 0 = - == mw2.CH.CK ∞ CH.CK. - - WEDNESDAY , Jan. 18 , 1854. 91 ... 121 . 9–12 . ] 41 PROBLEMS .
... ( 2a — u ) — 2 ( a2 — u * ) — u * } { u - w'u sine cos 0.2a ( u — a ) - 2mw2 . u sin . ( a — u ) cos - - - mw2 . 2u sin 0. ( 2a – 2u ) cos 0 = - == mw2.CH.CK ∞ CH.CK. - - WEDNESDAY , Jan. 18 , 1854. 91 ... 121 . 9–12 . ] 41 PROBLEMS .
Página 48
... sin0 . ƒ ( ~~ ) 0 sin 2 " ƒ ( 0 ) = 0 2 " sin 0 2 " Now as n increases , approximates to 1 and f ) to m , sin 2 " sin .. f ( 0 ) = m . Ꮎ The centre of gravity of a circular arc must be in the line drawn from the centre to the middle ...
... sin0 . ƒ ( ~~ ) 0 sin 2 " ƒ ( 0 ) = 0 2 " sin 0 2 " Now as n increases , approximates to 1 and f ) to m , sin 2 " sin .. f ( 0 ) = m . Ꮎ The centre of gravity of a circular arc must be in the line drawn from the centre to the middle ...
Outras edições - Ver tudo
Solutions of the Problems and Riders Proposed in the Senate-House ... William Walton,Charles Frederick MacKenzie Pré-visualização indisponível - 2016 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie Pré-visualização indisponível - 2018 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie Pré-visualização indisponível - 2015 |
Palavras e frases frequentes
angular velocity asymptotes axes Cambridge catenary centre of force centre of gravity chord circle circular cloth College conic section constant coordinates cos² cose cosẞ cota cotß Crown 8vo curvature curve cylinder denoting described diameter distance dx dy dy dx ecliptic ellipse equal equation equilibrium Fcap fixed point fluid geometrical progression given Hence horizontal hyperbola inclined intersection lamina latus rectum length locus longitude major axis middle point motion orbit parabola parallel particle passing perpendicular plane plate position pressure prove radius refraction right angles ring Second Edition shew sides Similarly sine sino sinẞ straight line string Supposing surface tana tangent tanß triangle Trinity College tube University of Cambridge vertical
Passagens conhecidas
Página 5 - Christ and other Masters. A Historical Inquiry into some of the Chief Parallelisms and Contrasts between Christianity and the Religious Systems of the Ancient World.
Página 15 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Página 12 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.
Página 4 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
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Página 8 - M'COY.— Contributions to British Palaeontology; or, First Descriptions of several hundred Fossil Radiata, Articulata, Mollusca, and Pisces, from the Tertiary, Cretaceous, Oolitic, and Palaeozoic Strata of Great Britain. With numerous Woodcuts. 8vo. cloth, 9s. *#* This forms a complete Series of the Author's Papers from the
Página 15 - The fitness of Holy Scripture for Unfolding the Spiritual Life of Man : Christ the Desire of all Nations ; or, the Unconscious Prophecies of Heathendom.
Página 2 - 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.
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Página 16 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Referências a este livro
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick Pré-visualização limitada - 2003 |
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick Pré-visualização indisponível - 2003 |