| John Martin Frederick Wright - Mathematics - 1825 - 653 pages
...are in geometrical progression. 7. A body acted on by a force varying as .from the centre (dist.)" **is projected from a given point, in a given direction,...centre, or go off to infinity. 8. The force varying** »»^¿у , shew under what restriction» L'f the velocity of projection, the body's approach towards... | |
| John Martin Frederick Wright - 1827
...in geometrical progression. 7. A body acted on by a force varying as (dist.)" JJ & from the centre, **is projected from a given point, in a given direction,...varying as——~, shew under what restrictions of** the velocity of projection, the body's approach towards the centre, and its recess towards infinity,... | |
| John Martin Frederick Wright - 1827
...-from the centre, is projected from a given [disc. ) point, in a given direction, and with a ^iven **velocity . (1) Find the equation to the trajectory...infinity. 8. The force varying as— — - , shew under** ( QlSt« ) what restrictions of the velocity of projection, the body's approach towards the centre,... | |
| John Martin Frederick Wright - 1827
...from the centre, is projected from a given (dist.)' ° point, in a given direction, and w ith a (riven **velocity . (1) Find the equation to the trajectory...or go off to infinity. 8. The force varying as—** 4, shew under what restrictions of the velocity of projection, the body's approach towards the centre,... | |
| John Martin Frederick Wright - Mathematics - 1836
...revolutions are in geometrical progression. 7. A body acted on by a force varying as from the centre (dist.)" **is projected from a given point, in a given direction,...centre, or go off to infinity. 8. The force varying as** __L^ , shew under what restrictions bf the velocity of projection, the body's approach towards the... | |
| Samuel Earnshaw - Attractions - 1844 - 372 pages
...investigate the form and magnitude of the path which it will take in its flight. 76. PKOB. A body being **projected from a given point in a given direction and with a given velocity** ; it is required to find the place of the body at any time, and the equation of the path which it will... | |
| Peter Guthrie Tait, William John Steele - Dynamics of a particle - 1871 - 428 pages
...of the direct distance, while n = — cor* \o responds to a constant central force. 149. A particle **is projected from a given point in a given direction and with a given velocity,** and moves under the action of a central force varying inversely as the square of the distance ; to... | |
| 1874
...acted npon by a central attraction ; determine the polar eqiuiti- 1 the path described. A partiele **is projected from a given point in a given direction and with** я ¡;. velocity, and moves under the action of a central attraction varying inversely a- • square... | |
| Peter Guthrie Tait - 1878
...while a = —- corresponds to a constant central attraction. 7T 128 CKNTRAL ORBITS. 149. A particle **is projected from a given point in a given direction and with a given velocity,** and moves under the action of a central attraction varying inversely as the square of the distance;... | |
| thacker spnk and co - 1881
...centres of force ; P, Iм the forces, prove that dP 5P _ dP- 5T_' dr + ~ ~ ~dr» + I7' 4. A particle **is projected from a given point in a given direction and with** n given velocity, and moves nnder the action of a central attraction varying inversely as the sqnare... | |
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