A Treatise on Dynamics of a Particle: With Numerous ExamplesMacmillan, 1882 - 411 sider |
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Side 16
... the direction of one of the components always passes through the point O , its moment vanishes . This is the case of a motion in which the acceleration is directed to a fixed point , and we thus prove the theorem that 16 KINEMATICS .
... the direction of one of the components always passes through the point O , its moment vanishes . This is the case of a motion in which the acceleration is directed to a fixed point , and we thus prove the theorem that 16 KINEMATICS .
Side 17
... prove the theorem that in the case of acceleration always directed to a fixed point the path is plane and the areas described by the radius - vector are proportional to the times ; for the moment of velocity , which in this case is ...
... prove the theorem that in the case of acceleration always directed to a fixed point the path is plane and the areas described by the radius - vector are proportional to the times ; for the moment of velocity , which in this case is ...
Side 35
... Prove that it is not possible for a point to move so that its velocity in any position may be proportional to the length of the path which it has described from rest : also that if its velocity be proportional to the space it has to ...
... Prove that it is not possible for a point to move so that its velocity in any position may be proportional to the length of the path which it has described from rest : also that if its velocity be proportional to the space it has to ...
Side 36
... prove that the whizzing of the ball at different points of its course will be heard in the order in which it is produced , or in the reverse order , according as n < > sec 0 . ( 11 ) A particle , projected with a velocity u , is acted ...
... prove that the whizzing of the ball at different points of its course will be heard in the order in which it is produced , or in the reverse order , according as n < > sec 0 . ( 11 ) A particle , projected with a velocity u , is acted ...
Side 38
... prove that its component accelerations parallel to these axes are dÆ dt - 2w cosec wt dn dt ' d'n dn - w2n + 2w cot wt dť2 dt ' ( 29 ) Two lines are moving in their own plane about their point of intersection with constant angular ...
... prove that its component accelerations parallel to these axes are dÆ dt - 2w cosec wt dn dt ' d'n dn - w2n + 2w cot wt dť2 dt ' ( 29 ) Two lines are moving in their own plane about their point of intersection with constant angular ...
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A Treatise on Dynamics of a Particle: With Numerous Examples Peter Guthrie Tait,William John Steele Uten tilgangsbegrensning - 1882 |
A Treatise on the Dynamics of a Particle: With Numerous Examples Peter Guthrie Tait,William John Steele Uten tilgangsbegrensning - 1882 |
A Treatise on Dynamics of a Particle: With Numerous Examples Peter Guthrie Tait,William John Steele Uten tilgangsbegrensning - 1882 |
Vanlige uttrykk og setninger
acceleration apse apse line attraction varying axis brachistochrone central attraction central orbit centre of attraction circle circular co-ordinates constant angular velocity cos² Crown 8vo curvature curve cycloid d²x described determine the motion differential equation direction of motion direction of projection dt dt dt² dx dy dy dt Edition elastic ellipse equal equations of motion excentricity Fcap fixed point focus given point gravity Hence hodograph horizontal plane hyperbola inclined initial integral latus rectum law of attraction length logarithmic spiral mass medium oscillation osculating plane parabola parallel particle is projected particle moves pendulum perpendicular point of projection position Professor proportional prove radius vector resistance resolved result shew sin² smooth straight line string suppose surface tangent tion tube V₁ vertex vertical
Populære avsnitt
Side 32 - ARISTOTLE— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge, 8vo.
Side 33 - W. ARCHER BUTLER, late Professor of Moral Philosophy in the University of Dublin. Edited from the Author's MSS., with Notes, by WILLIAM HEPWORTH THOMPSON, MA, Master of Trinity College, and Regius Professor of Greek in the University of Cambridge.
Side 28 - Flower (WH) AN INTRODUCTION TO THE OSTEOLOGY OF THE MAMMALIA. Being the Substance of the Course of Lectures delivered at the Royal College of Surgeons of England in 1870.
Side 19 - As a standard general text-book it deserves to take a leading place." — SPECTATOR. " We unhesitatingly pronounce it the best of all our elementary treatises on Chemistry.
Side 5 - FR-S., late Fellow and Assistant Tutor of St. Peter's College, Cambridge ; Examiner in the University of London.
Side 49 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Side 4 - INTRODUCTION TO QUATERNIONS, with numerous examples. By P. KELLAND, MA, FRS ; and PG TAIT, MA, Professors in the department of Mathematics in the University of Edinburgh. Crown 8vo.
Side 11 - GRAY— STRUCTURAL BOTANY, OR ORGANOGRAPHY ON THE BASIS OF MORPHOLOGY. To which are added the principles of Taxonomy and Phytography, and a Glossary of Botanical Terms.
Side 3 - Works by the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge. AN ELEMENTARY TREATISE ON TRILINEAR ' CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors.
Side 108 - ... that the ratio of the sines of the angles of incidence and refraction is constant for refraction in the same medium, was effected by Snell and Descartes.