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. cxvавторы: University of Calcutta - 1864Полный просмотр - Подробнее о книге
| 1863 - Страниц: 818
...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... | |
| Henry William Watson, Edward John Routh - 1860 - Страниц: 240
...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... | |
| Harvey Goodwin - 1862 - Страниц: 174
...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... | |
| Dublin city, univ - 1866 - Страниц: 300
...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... | |
| Isaac Todhunter - 1867 - Страниц: 372
...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... | |
| Isaac Todhunter - 1867 - Страниц: 368
...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... | |
| Edward John Gross - 1876 - Страниц: 276
...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... | |
| 1878 - Страниц: 228
...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... | |
| Isaac Todhunter - 1878 - Страниц: 440
...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... | |
| Oxford univ, local exams - 1880 - Страниц: 394
...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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