 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...find the ratio of the relative velocity before impact to the relative velocity after impact ; and show 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... | |
 | Thomas Jephson - Calculus - 1826 - 472 pages
...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 - Serial publications - 1829 - 572 pages
...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 - Mechanics - 1828 - 204 pages
...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 - Mechanics, Analytic - 1832 - 390 pages
...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 - Mechanics - 1833 - 234 pages
...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... | |
 | Anonymous - History - 1813 - 552 pages
...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 - Science - 1856 - 556 pages
...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 - Science - 1860 - 540 pages
...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... | |
 | University of Cambridge - Universities and colleges - 1815 - 344 pages
...Ix1 -f 3r -f- 6=0 into one which shall have its signs alternately positive' and negative. 6. 'I wo bodies A and B move in opposite directions with velocities,...when the velocities are reciprocally proportional to tlie quantities of matter in the bodies. 7. If from one extremity of the diameter of a circle, chords... | |
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Shew that the sum of the products of each body into the square of its velocity is a minimum, when the velocities are reciprocally proportional to the quantities of matter in the bodies. 
