The following is the approximate expression for the relation between a change Os in the length of the half chain and the corresponding change Ay in the dip s +Os =x+ (2/3x) {y2 or, neglecting the last term, 5 As= 4YAY/3x, and 6 Dy = 3xOs/4Y From these equations the deflection produced by any given s
Deflections of the suspended needle are indicated by the movement of a narrow beam of light which the mirror reflects from a lamp and focusses upon a graduated cardboard scale placed at a distance of a few feet; the angular deflection of the beam of light is, of course, twice that of the needle.
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