Physics for University Students volume 1

Cover Physics for University Students volume 1
Physics for University Students volume 1
Henry S Henry Smith Carhart
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Suppose now that we wish to trace the curve corre- sponding to the vibration-frequencies one to two, two for the horizontal and one for the vertical component, and with no difference of phase. Starting from we count two points horizontally to the right and one up and reach /; again two to the right and one up for point II; and so continue, numbering the points in order until we pass through the starting point in the same direction as at first, being careful always to complete the motion in one ...direc- tion before beginning the retrograde motion. An excellent check upon the accuracy of the location of the points is found in the fact that points equidistant from the axis of symmetry AB differ in number by eight in every case, that is, by half a vibration. If now a smooth curve be traced through the points in order we see that, in accordance with Art. 22, the moving point, being subject to both motions, describes two spaces horizontally and one vertically in the same interval of time, and consequently passes through the corners of rec- tangles two spaces long and one space high in every case.

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