 | Peter Guthrie Tait, William John Steele - 1871 - 462 σελίδες
...the orbit described, the position of the apse, and the law of force. • . r=V 2TaCOS^~a^ p=7' (32) A particle is projected from a given point with a given velocity and is acted on by a central force varying inversely as the square of the distance ; shew that whatever... | |
 | Isaac Todhunter - 1871 - 296 σελίδες
...The investigations of the present Chapter naturally suggest for discussion the following problem : a particle is projected from a given point with a given velocity, and is attracted to a fixed point by a force varying inversely as the square of the distance : determine... | |
 | Isaac Todhunter - 1871 - 300 σελίδες
...The -investigations of the present Chapter naturally suggest for discussion the following problem : a particle is projected from a given point with a given velocity, and is attracted to a fixed point by a force varying inversely as the square of the distance : determine... | |
 | Isaac Newton, Percival Frost - 1878 - 322 σελίδες
...parabola, and that the angle through which the SP direction of motion is deflected is tan.> .^f. . 16. A particle is projected from a given point with a given velocity V, and moves under the action of a force fiR~*, prove that there may be two directions of projection... | |
 | Peter Guthrie Tait, William John Steele - 1878 - 438 σελίδες
...additional elevation required above a plane inclined to the horizon at an angle ft, sin /3 sin2 a (22) A particle is projected from a given point with a given velocity u so that the range on a given inclined plane may be the greatest possible : prove that, if v be its... | |
 | Peter Guthrie Tait, William John Steele - 1882 - 438 σελίδες
...particle is projected from a given point with a given velocity, and moves on an inclined plane ; Jtnd the locus of the directrices of its path for different...been acquired by sliding from the directrix ; that is (§ 85) equal to the velocity due to the fall from a horizontal plane through the directrix. Now the... | |
 | Peter Guthrie Tait, William John Steele - 1882 - 476 σελίδες
...a particle moves on a plane inclined to the ^ horizon at an angle 0, the acceleration is, by § 84, g sin 0 parallel to the line of greatest slope on...: ' given velocity, and moves on an inclined plane ; Jind the locus \ of the directrices of its path for different inclinations of the : plane. It will... | |
 | Isaac Newton - 1900 - 320 σελίδες
...parabola, and that the angle through which the Cf T> direction of motion is deflected is tan-1 -^ . KK 16. A particle is projected from a given point with a given velocity V, and moves undpr the action of a force fiR ', prove that there may be two directions of projection... | |
 | Eldred John Brooksmith - 1901 - 368 σελίδες
...directions of the velocities of the two particles (i) just before A leaves the table, (2) just after. 12. A particle is projected from a given point with a given velocity in a given vertical plane ; find the envelope of the possible paths. A shot is fired from a gun at... | |
 | Royal Military Academy, Woolwich - 1909 - 456 σελίδες
...second cord becomes tight. Find also the velocity of m just after the second cord becomes tight. 11. A particle is projected from a given point with a given velocity. Find the range on an inclined plane through the point of projection. IO Prove that, if the angle of... | |
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... g sin 0 parallel to the line of greatest slope on the plane, and therefore the trajectory will still be a parabola, whose dimensions will depend upon 0. Ex. A particle is projected from a given point with a given velocity, and moves on an inclined... 
