Transactions of the Wisconsin Academy of Sciences, Arts and Letters
volume IV (1876-1877)
Davies, J. E.
Report on recent progress in theoretical physics, pp. 241-264 PDF (6.7 MB)
Recent Progress in Theoretical Physics. a quarter of a complete oscillation. If there be two equal and op- posite tendencies operating upon F, one to carry it toward Y, and the other toward X, the result will be, that the tangential tendencies at F will neutralize each other, while the normal com- ponents will coincide and carry the particle towards C along r (Fig 11), and a rectilinear motion Fig. 13. will be the result, as in Fig. 12 or Fig. 13. Thus two tend- encies to gyrate in opposite directions may result in mere rectilinear vibrations. If one Fig. 12. of these 1 i re tenden- cies be stronger / other, so that of it- self it would produce a more rapid rotation in its direction, than the other component in its, then the motion will be elliptical in an orbit of which the major axis changes at each complete oscillation Pig. 15.- by some angle 0, the magnitude ,+ *f 1~ I Iof which will depend upon the excess of velocity in one direc- tion over that in the opposite. This is easily seen by reference to Figs. 14 or Fig. 14.2 15, where the motion would be along ab, 7 were both cir- j cular compo- nents equal, - I' whereas t he ' The engraver has very imperfectly copied the origiaal drawings for this as for some of the other figures. 2For c in the figure, read Q, and for a and b at the extremities of one of the diameters, read a' and b', respectively. 249
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