Elementary Dynamics of Particles And Solids
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In our eReader you can find the full English version of the book. Read Elementary Dynamics of Particles And Solids Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elementary Dynamics of Particles And Solids
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. . denote their values along AB. Then the works done by the forces are, by the previous theorem, AB X X„ AB X X„ . . .
Hence their sum = AB(X, + Xj + . . .), = AB X resolved part of resultant along AB, = work done by the resultant.
96. It follows at once from the foregoing theorem that if a particle be in equilibrium under the action of any forces, and if it receive any small displacement, the work done by the forces must on the whole be zero, and vice versa, if the work done by the forces for... any possible small displacement be zero, the particle will be in equilibrium. For in any case, if E denote the resultant and x any displacement estimated parallel to the resultant, the work done by the forces is Eo;, and since x is not zero, if the work is zero it must be because E = 0, i.e. the particle must be at rest.
The reason for stating the above for small displacements is that for large displacements the forces will in general alter during the displacement, and the result would not then be true.
What to read after Elementary Dynamics of Particles And Solids?
You can find similar books in the "Read Also" column, or choose other free books by Hicks, W. M. (William Mitchinson), 1850-1934 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. . denote their values along AB. Then the works done by the forces are, by the previous theorem, AB X X„ AB X X„ . . .
Hence their sum = AB(X, + Xj + . . .), = AB X resolved part of resultant along AB, = work done by the resultant.
96. It follows at once from the foregoing theorem that if a particle be in equilibrium under the action of any forces, and if it receive any small displacement, the work done by the forces must on the whole be zero, and vice versa, if the work done by the forces for... any possible small displacement be zero, the particle will be in equilibrium. For in any case, if E denote the resultant and x any displacement estimated parallel to the resultant, the work done by the forces is Eo;, and since x is not zero, if the work is zero it must be because E = 0, i.e. the particle must be at rest.
The reason for stating the above for small displacements is that for large displacements the forces will in general alter during the displacement, and the result would not then be true.
What to read after Elementary Dynamics of Particles And Solids?
You can find similar books in the "Read Also" column, or choose other free books by Hicks, W. M. (William Mitchinson), 1850-1934 to read onlineMoreLess
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