| Thomas Jephson - 1826
...3^/3 Ex. 14. Two bodies move in opposite directions with velocities, the sum of which is given. Show **that the sum of the products of each body into the...proportional to the quantities of matter in the bodies.** Let A and B be the bodies, x and y their velocities ; then dy u = A#J + BJ/3 and x +y = c. .: -^- =... | |
| Robert Walsh - 1829
...obtain several general theorems that hold good in the motion of all systems of bodies. The first is, **that — The sum of the products of each body into the square** ofilx • Met. Cel. Liv. I. § 14. \Vnd. Liv. I. § 14-• Ibid. Liv. I. $. \7. § ibid. Liv. I. §... | |
| Mechanical problems - 1828
...to that of C :: $ (A+£ + C. + D):A. 26. In the direct impact of imperfectly elastic bodies, prove **that the sum of the products of each body into the square of its velocity** before impact, is greater than the sum of the products of each body into the square of its velocity... | |
| John Radford Young - 1832 - عدد الصفحات: 326
...there results . M ( V'2 — v*) = M, («,2 — V"2) or MV2 + M,V"2 = Me" + M1o12 .... (9); that is, **the sum of the products of each body into the square of its velocity is** the same, both before and after impact. The mass into tho square of the velocity is called the vis... | |
| James Hann, Isaac Dodds - 1833 - عدد الصفحات: 208
...centre of oscillation or percussion of any compound pendulum from its centre of suspension, is equal to **the sum of the products of each body into the square of its** distance from the centre of suspension, divided by the sum of the products of each body into its distance... | |
| 1813
...increasing series the sum of all the motions in the direction of the first mover continues = A a. Also **the sum of the products of each body, into the square of its velocity,** after collision, remains as it was before, equal to A a*.' Altogether, we think the section on the... | |
| William Somerville Orr - 1856
...Consequently M V2 + M' V2 = M,;2 + MV2. We may therefore conclude that when the bodies are perfectly elastic, **the sum of the products of each body into the square of its velocity is** the same both before and after impact. A particular name is given to the product of a mass into the... | |
| William Somerville Orr - 1860
...V2 + M' V'z = Мг>г + M У. Ve may therefore conclude that when the bodies are perfectly elastic, **the sum of the products of each body into the square of its velocity is** the same both before and after impact. A particular name is given to the product of a mass into the... | |
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