This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1882 Excerpt: ...of Projectiles." Tables also were calculated by Mr Bashforth from formulae.. d d (3) and (4) (Tables VIII.--XI.), giving--s and--t for every decrement of 10 in the velocity between 1700 and 900, using the mean value of K between each pair of velocities, and from these tables, we can determine s in terms of v and t in ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1882 Excerpt: ...of Projectiles." Tables also were calculated by Mr Bashforth from formulae.. d d (3) and (4) (Tables VIII.--XI.), giving--s and--t for every decrement of 10 in the velocity between 1700 and 900, using the mean value of K between each pair of velocities, and from these tables, we can determine s in terms of v and t in terms of v for any shot, neglecting gravity, and consequently s in terms of t. Kv 210.' There is one case in which the above solution fails, namely when n = 1, or the resistance varies as the velocity. y-1 In this case k is the reciprocal of a time and may be put ldv 1 or-Tt =--(2). v dt r x' V t Hence log--=-(3): ds' and therefore v =-, -= Ve. dt _t Integrating, we have S = Vt(1--e 7) (4). Equations (3) and (4) determine the velocity and the position of the particle at any instant. They shew that the velocity continually diminishes without ever actually becoming zero, but that the distance passed over by the particle has a definite limit, for when t = x, S = Vt. 211. A particle.jwnder a constant force in its line of j_ 'J motion, moves in a resisting medium of uniform density, of which the resistance varies as the square of the velocity; to determine the motion. Suppose the particle projected from the origin with the velocity V, and let v be its velocity at any time t, x its distance from the origin at that time, and / the constant acceleration due to the force. Assume K to be the velocity with which the particle, - r would have to be animated that the retardation due to the c ' J resistance might be equal to/, then the retardation when the V f velocity is v may be represented by /-TM. ' After this the particle begins to return, the resistance therefore tends to increase x, and the equation of motion is dt K V) a--s-' Integrating, and ...
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot offer an expedited shipping service from the UK.
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Good. Third Edition, considerably augmented. Water stains along the tail corner of the back end board, as well as the two pages preceding it. Frayed edges of the spine cloth. Light bumping to the corners. Dark green cloth boards and gilt spine lettering. Binding is tight yet there is a slight tear along the gutter edge of the front and back end boards.