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" A heavy particle is projected from a given point with a given velocity so as to pass through another given point ; prove that in general, there will be two parabolic paths which the particle may describe ; and give a geometrical construction to determine... "
The Calcutta University Calendar - Стр. cxv
авторы: University of Calcutta - 1864
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General Report on Public Instruction in the Bengal Presidency

1863
...and give a geometrical construction to de mine their foci. Also find the locus of the second point order that there may be only one parabolic path. 12. Two imperfectly elastic balls of given masses, movii in the same directions with given velocities, impinge dii on one another ; determine their velocities...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - Страниц: 197
...plane g cos a ; /. if T be the time of descent cr cos a. T2 - - - - = h sec a, 2 or = or Tx sec a, x. A heavy particle is projected from a given point with...in order that there may be only one parabolic path. Since the velocity of projection is given, the directrix of the parabolic path is given. Let MN be...
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Problems and Examples

Harvey Goodwin - 1862 - Страниц: 141
...the upper, arcs described in equal times. 19. A heavy particle is projected from a given point with given velocity so as to pass through another given...in order that there may be only one parabolic path. 20. A barrel of a rifle sighted to hit the centre of the bull's eye, which is at the same height as...
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Dublin examination papers

Dublin city, univ - 1866
...1. A material particle is acted on by forces which satisfy the criterion Xdx + Ydy + Zdz = «V, and is projected from a given point with a given velocity, so as to pass through another given point. If there be several different trajectories which satisfy this condition, and if they be arranged according...
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Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1867 - Страниц: 350
...Ism. a cos2a + — sin2 a. 16. A heavy body is projected from a given point in a given vertical plane with a given velocity so as to pass through another given point: shew that the locus of tho second point in order that there may be only one parabolic path is a parabola...
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Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1867 - Страниц: 350
...greatest range, but on opposite sides of it. 70. To determine the direction in which a body must be projected from a given point with a given velocity so as to hit a given point. Let A denote the point of projection, B the other given point. The velocity at A...
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An Elementary Treatise on Kinematics and Kinetics

Edward John Gross - 1876 - Страниц: 211
...diameter. Find the range of the particle on the horizontal plane through the point of projection. (i i.) A heavy particle is projected from a given point with a given velocity inside a parabolic tube whose axis is vertical ; show that on escaping from the tube it will describe...
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Civil Service of India: Open Competition for the Regulations, Examinations ...

1878
...regarded as quite smooth. 6. Find the direction in which a particle under the action of gravity must be projected from a given point with a given velocity so as to pass through another given point. A particle is projected with a velocity V in a direction just sufficient to make it rise to and run...
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Mechanics for Beginners: With Numerous Examples

Isaac Todhunter - 1878 - Страниц: 400
...greatest range, but on opposite sides of it. 70. To determine the direction in which a body must be projected from a given point with a given velocity so as to hit a given point. Let A denote the point of projection, B the other given point. The velocity at A...
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Examination papers, and division lists, &c. [afterw.] General certificate of ...

Oxford univ, local exams - 1880
...the space it would describe in the same time with the last acquired velocity continued uniform. 6. A heavy particle is projected from a given point with a given velocity, what is the nature of its path ? A particle after sliding down an inclined plane moves in a parabola...
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