In case the theoretically derived cams are used in automatic balances, many defects have been frequently experienced in the points of their production cost and mechanical machining. Practically speaking, it is believed more convenient to use the substituted circular cams than the theoretically derived cams. In the prevailing method for finding the substituted circular cams, the fulcrum, as very often discussed in this journal, is moved from the center of the circle on its diameter line, and accordingly the cams thus derived are quite symmetrical to its diameter lines. In this paper, this method is called "Symmetrically Decentered Method" only for convenience' sake, In automatic balances, however, cams always rotate only in one direction, in other words, in positive direction from the zero points. So, it is easily understood that more accurate results can be obtained in moving its fulcrum off the diameter line than in moving it on the diameter line. This method called "Asymmetrically Decentered Method" is, as mentioned in the following, to determine the distance
d or
d/
R between the circle center and fulcrum and the angle β between the diameter direction and decentered direction, so as to get the desired accuracy.
In the former method, there is only one variable or the distance d between the fulcrum and the circle center, while in the latter method, two variables
d and β. In the latter method, satisfactorily accurate results can be obtained, though calculation is a little more complicated than in the former method. You will surely find this fact if you make the calculation yourself.
This method has been applied to automatic balances of 10kg capacity since a few years ago and as its result an accuracy of ±1/1500 has been observed. Thus, the balances have won good reputation since they were put on the market. The author feels very sorry he is unable to give the numerical data of this method in this paper, because he has lost them.
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