 | Augustus William Smith - 1855 - 368 pages
...the unit of distance. 376. EXAMPLES. Ex. I. Required the velocity and time when a material particle is attracted to a fixed point by a force varying inversely as the square root of the distance. II -LI Ans v^=2tt~(ci' 2?'^' 2 3/r Ex. 2. Find the velocity and periodic time... | |
 | Augustus William Smith - 1855 - 340 pages
...the unit of distance. 376. EXAMPLES. Ex. 1. Required the velocity and time when a material particle is attracted to a fixed point by a force varying inversely as the square root of the distance. Ans. v=^2^(az—x^Y Ex. 2. Find the velocity and periodic time of a body revolving... | |
 | Bartholomew Price - 1856 - 672 pages
...is a circle, and the velocity in it is constant and equal to that of projection. 288.] A particle m is projected from a given point with a given velocity, and is acted on by a force which varies inversely as the square of the distance from a given point which is... | |
 | Augustus William Smith - 1863 - 340 pages
...the unit of distance. 376. EXAMPLE*. Ex. 1. Required the velocity and time when a material particle is attracted to a fixed point by a force varying inversely as the square root of the distance. An*. v=2^(a^—x^ -H- 11 i ~ty Ex. 2. Find the velocity and periodic time of... | |
 | Peter Guthrie Tait - 1865 - 394 pages
...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 plane/ find the locus of the directrices of its path for different inclinations... | |
 | Peter Guthrie Tait, William John Steele - 1871 - 462 pages
...plane, and therefore the trajectory will still be a parabola, whose dimensions will depend upon 6. Ex. A particle is projected from a given point with a given velocity, and moves on an inclined plane ; find the locus of the directrices of its path for different inclinations... | |
 | Peter Guthrie Tait - 1878 - 480 pages
...additional elevation required above a plane inclined to the horizon at an angle /S, ., sin /3 sin* 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... | |
 | Isaac Newton, Percival Frost - 1878 - 322 pages
...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 pages
...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... | |
 | 1886 - 198 pages
...two curves. Then, 3371. (By JB SAND-BUS.)— Required the velocity and time when a material particle is attracted to a fixed point by a force varying inversely as the square root of the distance. Solution. The equation of motion is — - ••— J~ (1). Multiplying by 2... | |
| |
A particle is projected from a given point with a given velocity and is acted on by a given force to a fixed point. 
