Dynamics: Or, A Treatise on Motion; to which is Added a Short Treatise on AttractionsJ. & J. J. Deighton, 1844 - 372 من الصفحات |
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عبارات ومصطلحات مألوفة
accelerating force angular motion angular velocity apse apsidal attraction centre of force centre of gravity centrifugal force circle cloth lettered co-ordinate axes consequently constant cos² ß curvature cycloid descend described differential direction distance Edition effective forces ellipse ellipsoid equal equations of motion equilibrium fixed axis fixed point force acting given velocity Hence impact impressed forces inclined inertia with respect integral invariable plane m₁ mass moment of inertia moments of inertia Multiply mx² orbit oscillation parallel particle path pendulum perpendicular position pressure principal axes PROB projection radius revolve roan lettered rotation shew shewn sin² space string suppose surface tangent tautochronism tension tion uniform vertical vis viva viva w₁
مقاطع مشهورة
الصفحة 336 - ... sphere attracted to a given centre of force varying as the distance is projected with a given velocity along a plane passing through that centre, friction being such as to destroy all sliding: prove that the path will be an ellipse, and find the velocity that the ellipse may be a circle. PROB. 28. A cone of given form, and supported at G its centre of gravity, has a motion communicated to it round an axis through G perpendicular to the line joining G with a point in the circumference of the base,...
الصفحة 346 - PERRIN'S SPELLING; a New and Easy Method of Learning the Spelling and Pronunciation of the French Language. In Two Parts. Twenty-first Edition, revised and corrected by C.
الصفحة 328 - If a body be projected about a centre of force varying inversely as the square of the distance with a velocity equal to n times the velocity in a circle at the same distance, and in a direction making an angle...
الصفحة 347 - Hecuba, and Orestes. Person's Text : with a literal Translation into English Prose, and an Index Verborum to the Medea. In the same page with the translation are given the Original Greek, the Metres or Scanning, the Order, English Accentuation, and a variety of useful Notes. By TWC Edwards, MA 8vo. 20s. cl.
الصفحة 325 - ... (9.) A perfectly elastic ball falls from a height h, on a plane inclined 30 degrees to the horizon, shew that it will strike the plane again after an interval equal to twice the time of its fall, and that its range on the plane will be 4 h. (10.) A spherical particle of which...
الصفحة 327 - A body, projected in a given direction with a given velocity and attracted towards a given centre of force, • " has its velocity at every point: the velocity in a circle at the same distance :: 1...
الصفحة 187 - Expressed in words, this equation states that the polar moment of inertia for an area, with respect to an axis perpendicular to its plane, is equal to the sum of the moments of inertia about any two mutually perpendicular axes in its plane that intersect on the polar axis.
الصفحة 343 - Bingley's (Rev. W.) Useful Knowledge ; Or, a familiar Account of the various Productions of Nature, which are chiefly employed for the use of Man. With Plates, and 150 Woodcuts. 6th Edition, enlarged and altered to the existing state of Science, by D. Cooper. 2 vols. 12mo. 16s. cloth lettered. Bonnycastle's Introduction to Astronomy ; Familiarly explained. With 17 Plates. 9th Edition, corrected and enlarged, by JR Young, Professor, Belfast College. 12mo.
الصفحة 341 - ... lost, being consumed in the interior commotion of the water. But if the water gradually acquires the velocity of the wheel on which it acts, the whole of its labouring force is brought into play. Standard School Books PUBLISHED BY SIMPKIN, MARSHALL, AND CO. ADAMS.— History of Great Britain, with Six Engravings. By the Rev. John Adams, AM 6th Edition, 12mo. 4s. 6d. bd. ADAMS
الصفحة 329 - ... varying inversely as the square of the distance: shew that the time of moving from one focus to the other is the same, at whatever point in the circumference of the ellipse the centre of force is placed.