 | 1829 - 448 σελίδες
...will oblige me by giving it a place in the Journal. Problem. — Supposing that a particle of matter, projected from a given point, in a given direction, with a given velocity, is deflected from its rectilineal course into a curve line ; It is required to determine the equations... | |
 | Thomas Leybourn - 1830 - 630 σελίδες
...the centre: given the force at a given distance,, to find the actual periodic time. ,., 10,. A body is projected from a given point, in a given direction with a given velocity, when the force varies inversely as (dist.)2 : find the latus rectum of the orbit described ? 20. Investigate... | |
 | Miles Bland - 1830 - 394 σελίδες
...and (b) they will by the motion of the plane arrive at A and B in the same time. 106. If a body be projected from a given point, in a given direction, with a given velocity, at a given distance from the centre of force, whose intensity at the distance (a) is given ; shew that... | |
 | John Martin Frederick Wright - 1831 - 282 σελίδες
...elasticity is >. 14. When a body is acted upon by a uniformly accelerating force shew that 15. A body is projected from a given point in a given direction with a given velocity ; prove that g** « = x . tan.a 9 '2 . a2 cos.2 a is to the equation to the curve, and shew the curve... | |
 | Samuel Earnshaw - 1832 - 228 σελίδες
...; we have next to consider the path it would take if left to itself. A body is projected in vacuo, from a given point, in a given direction, with a given velocity, required its path. Let it be projected from A (Fig. 1 1) in direction AC, and describe the curve APB.... | |
 | 1836 - 366 σελίδες
...CHNPHAL FORCES 193. Find the mean motion of the moon's nodes. (Newton, Book III. Prop. 32.) 194. A body is projected from a given point, in a given direction, with a velocity acquired from infinity, and is acted on by a central force varying as ^; find the equation... | |
 | Samuel Earnshaw - 1844 - 426 σελίδες
...—• f v , TO + m + X". and v' •• mu — m'u' m m m'(u + u') m' + m m (u + u') m + m' 9. A body is projected from a given point in a given direction with a given velocity ; to Jind the time of flight and its range upon an inclined plane passing through the point of projection.... | |
 | Bengal council of educ - 1848 - 394 σελίδες
...of gravity of a pyramid on a triangular base. 8. Find the equation to the curve described by a body projected from a given point in a given direction with a given velocity ; find also the horizontal range and line of flight, and the focus and latus rectum of the parabola.... | |
 | Archibald Sandeman - 1850 - 222 σελίδες
...of describing an arc, the radii-vectors of whose extremities are r and /, is 33. A particle, being projected from a given point in a given direction with a given velocity, is acted on by a force tending to a fixed center, whose intensity at any point is proportional to the... | |
 | Bartholomew Price - 1856 - 664 σελίδες
...base, and let ae !(<"_,-")-n | . (115) Hence, in conclusion, it appears that if a particle is projected with a given velocity, and moves under the action of a central force which varies inversely as the square of the distance, the path which it describes will be either... | |
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A particle is projected from a given point in a given direction and with... 
