A Collection of Problems in Illustration of the Principles of Theoretical Mechanics |
From inside the book
Results 1-5 of 98
Page 34
... vertical line which passes through its lowest point , trace arbi- trarily a perimeter enclosing a portion S of the surface ; project this perimeter upon a horizontal plane which intersects the axis of revolution at a distance c below ...
... vertical line which passes through its lowest point , trace arbi- trarily a perimeter enclosing a portion S of the surface ; project this perimeter upon a horizontal plane which intersects the axis of revolution at a distance c below ...
Page 51
... vertical plane at which a particle can rest , friction being equal to pressure ; to determine the inclination of the radius through P to the horizon . The required angle π = 4 ' ( 4 ) A given force P , acting parallel to the horizon ...
... vertical plane at which a particle can rest , friction being equal to pressure ; to determine the inclination of the radius through P to the horizon . The required angle π = 4 ' ( 4 ) A given force P , acting parallel to the horizon ...
Page 55
... vertical one in the point B ; the vertical plane passing through the beam intersects at right angles the former plane in the line AC , and the latter in the line BC ; the beam is attached to the point C by a string EC without weight ...
... vertical one in the point B ; the vertical plane passing through the beam intersects at right angles the former plane in the line AC , and the latter in the line BC ; the beam is attached to the point C by a string EC without weight ...
Page 56
... vertical plane through the beam at right angles in the points A ' , A " ; the beam passes under the lower and over the higher bar , its lower extremity A being sustained upon a smooth horizontal plane : to determine the pressures upon ...
... vertical plane through the beam at right angles in the points A ' , A " ; the beam passes under the lower and over the higher bar , its lower extremity A being sustained upon a smooth horizontal plane : to determine the pressures upon ...
Page 58
... vertical plane ; the other end B is attached to a weight P by means of a string passing over a pulley C'in the same vertical plane ; to find the position of equilibrium . Let a horizontal line AD through A meet a vertical line through C ...
... vertical plane ; the other end B is attached to a weight P by means of a string passing over a pulley C'in the same vertical plane ; to find the position of equilibrium . Let a horizontal line AD through A meet a vertical line through C ...
Contents
174 | |
176 | |
186 | |
199 | |
211 | |
216 | |
223 | |
236 | |
42 | |
43 | |
53 | |
56 | |
57 | |
59 | |
63 | |
66 | |
68 | |
71 | |
75 | |
76 | |
82 | |
84 | |
85 | |
87 | |
107 | |
111 | |
113 | |
119 | |
125 | |
133 | |
141 | |
146 | |
150 | |
166 | |
251 | |
277 | |
291 | |
317 | |
323 | |
346 | |
352 | |
359 | |
385 | |
391 | |
398 | |
414 | |
419 | |
434 | |
441 | |
450 | |
463 | |
472 | |
474 | |
491 | |
508 | |
534 | |
545 | |
554 | |
563 | |
Other editions - View all
Common terms and phrases
absolute force acted angular velocity attraction axes axis body catenary centre of force centre of gravity circle co-ordinates coefficient of friction collision cos² curve cylinder d²x denote density determine direction distance dx dy dx² elastic ellipse equal equation Euler find the centre find the position fixed point formula given velocity hence horizontal plane inclined plane integrating James Bernoulli John Bernoulli latus rectum middle point motion oscillation parabola particle perpendicular position of equilibrium pressure problem projection radius of gyration rest right angles SECT shews sin² smooth sphere square straight line string supposing surface taking moments tan² tangent tension triangle tube unit of mass varying inversely vertical plane virtual velocities Vis Viva weight zero
Popular passages
Page 30 - 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 2 - Wilson's Illustration of the Method of explaining the New Testament, by the early opinions of Jews and Christians concerning Christ.
Page 1 - 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 24 - A Practical Synopsis of English History : or, A General Summary of Dates and Events for the use of Schools, Families, and Candidates for Public Examinations. By Arthur Bowes.
Page 21 - It is an admirable addition to our Lexicography, supplying a great desideratum, as exhibiting the biography of each word— its birth, parentage and education, the changes that have befallen it, the company it has kept, and the connexions it has formed — by rich series of quotations, all in chronological order. This is such a Dictionary as perhaps no other language could ever boast.
Page 2 - 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 1 - An Analysis of the Exposition of the Creed, written by the Right Rev. Father in God, JOHN PEARSON, DD, late Lord Bishop of Chester.
Page 32 - A History of the Articles of Religion. Including, among other Documents, the X Articles (1536), the XIII Articles (1538), the XLII Articles (1552), the XI Articles (1559), the XXXIX Articles (1562 and 1571), the Lambeth Articles (1595), the Irish Articles (1615), with Illustrations from the Symbolical Books of the Roman and Reformed Communions, and from other contemporary sources. By C. HARDWICK, MA, Fellow and Chaplain of St. Catharine's Hall.
Page 17 - The Open Timber Roofs of the Middle Ages, illustrated by Perspective and Working Drawings of some of the best varieties of Church Roofs ; with Descriptive Letterpress. By R. and JA BRANDON, Royal 4to, uniform with the above, £3 3s.
Page 9 - 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.