A Treatise on Dynamics of a Particle: With Numerous ExamplesMacmillan, 1882 - 411 sider |
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Side 8
... while a negative sign would shew that v decreases as t in- creases , in other words a negative acceleration is a retardation . Combining the above equation with we have ds = = 8 KINEMATICS . Composition and Resolution of Velocities, §§ 8- ...
... while a negative sign would shew that v decreases as t in- creases , in other words a negative acceleration is a retardation . Combining the above equation with we have ds = = 8 KINEMATICS . Composition and Resolution of Velocities, §§ 8- ...
Side 35
... shew that it moves in a conic section . ( 8 ) Two points are moving with constant velocity in two straight lines , 1st in a plane , 2nd in space ; given the initial circumstances , find when they are nearest to each other . Shew also ...
... shew that it moves in a conic section . ( 8 ) Two points are moving with constant velocity in two straight lines , 1st in a plane , 2nd in space ; given the initial circumstances , find when they are nearest to each other . Shew also ...
Side 36
... shew that the particle will be moving in the opposite direction to that of projection at the time U f cos a a ( e cot - 1 ) . ( 12 ) Shew that any infinitely small motion given to a plane figure in its own plane is equivalent to a ...
... shew that the particle will be moving in the opposite direction to that of projection at the time U f cos a a ( e cot - 1 ) . ( 12 ) Shew that any infinitely small motion given to a plane figure in its own plane is equivalent to a ...
Side 37
... shew that when it is in that position its velocity is √√ / ( u2 — v2 ) . When u = parabola . v , shew directly that the curve described is a ( 20 ) Shew that if p be the radius of curvature of the curve of pursuit , we have in the ...
... shew that when it is in that position its velocity is √√ / ( u2 — v2 ) . When u = parabola . v , shew directly that the curve described is a ( 20 ) Shew that if p be the radius of curvature of the curve of pursuit , we have in the ...
Side 39
... shew that the direction of motion of the point A at any time is perpendicular to the direction of the middle rod ; the motion commencing from rest with the rods in a straight line . n ( 32 ) A man is in a boat , on a river , at a ...
... shew that the direction of motion of the point A at any time is perpendicular to the direction of the middle rod ; the motion commencing from rest with the rods in a straight line . n ( 32 ) A man is in a boat , on a river , at a ...
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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.