 | John Martin Frederick Wright - 1825 - عدد الصفحات: 798
...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 - عدد الصفحات: 344
...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 - عدد الصفحات: 344
...-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 - عدد الصفحات: 358
...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 - 1836 - عدد الصفحات: 776
...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 - 1844 - عدد الصفحات: 394
...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 - 1871 - عدد الصفحات: 462
...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... | |
 | United States Naval Academy - 1874 - عدد الصفحات: 888
...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 - عدد الصفحات: 480
...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;... | |
 | University of Calcutta - 1881 - عدد الصفحات: 556
...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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In the logarithmic spiral find an expression for the time of a body's descent from a given point to the centre, and prove that the times of successive revolutions are in geometrical progression. 7. A body acted on by a force varying as (dist... 
