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. 1913 Excerpt: ...is invariably attached to the given rigid system (i.e when dvr'/dt= o), that is to say, in the equation w = = Vpw., dl With a given fixed point C of the system, always tacitly assumed. Now, such vectors are for instance the three unit vectors x, x2, xj representing the rigid system's principal axes, these certainly ...
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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. 1913 Excerpt: ...is invariably attached to the given rigid system (i.e when dvr'/dt= o), that is to say, in the equation w = = Vpw., dl With a given fixed point C of the system, always tacitly assumed. Now, such vectors are for instance the three unit vectors x, x2, xj representing the rigid system's principal axes, these certainly being attached to the system. Hence, we can put, in the last equation, w = xj, or x2, or x3, and thus we shall obtain the three vectorial differential equations xVpxj x2 = Vpx2 J-(46) x3 = Vpx3 J which can be regarded as the expression of the kinematical relations. In this system of equations, the rdle of all the three principal axes is the same. It is true that we have here three unit vectors xl, etc., amounting to six scalars, whereas the rotating rigid system has only three degrees of freedom; in other words, Xv x2, x3 are not mutually independent variables, as 6, p, are, but, on the other hand, by using them and the form (46), none of the moving axes is specially distinguished, so that the formulae show a perfect symmetry. Remember that xj, etc., are not only unit vectors, but also mutually perpendicular; we have not only v 2--i v- 2---v" 2--T Vi vVi) Q S but also x2x3 = x3xj = xjx2 = o, that is, we have in reality only three independent scalar parameters, i.e. as many as are the degrees of freedom of the system in question. We may, however, retain xj, x2, x3 in the kinematical relations, keeping in mind the last scalar conditions, but not using them explicitly for the process of elimination. This method of treatment will secure symmetry, and thus, for general considerations, will be more convenient than scalar parameters of which the number is explicitly reduced to three. In the kinematical relations (46) the fluxes xj, etc., ...
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Add this copy of Vectorial Mechanics to cart. $15.45, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2023 by Mjp Publishers.
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Add this copy of Vectorial Mechanics to cart. $28.99, new condition, Sold by Ria Christie Books rated 4.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2022 by Legare Street Press.
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Add this copy of Vectorial Mechanics to cart. $83.72, fair condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1913 by Macmillan.
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Seller's Description:
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 650grams, ISBN:
