. A Study of the Balance. Tig. 5.—Effects of tilting the balance case. 224 A Study of the Balance. towards the left, will shift the centre of gravity to a point to the right of avertical plane, passing through the contact-line, and the balance will swingtowards its previous orientation with reference to the horizon, but will notreach it, because the rolling of the edge on the supporting plane will bringthe contact-line vertically over G before that orientation is reached. Thebalance, therefore, is less sensitive to tiltings of its case than one playing onan absolutely sharp knife-edge. If G is


. A Study of the Balance. Tig. 5.—Effects of tilting the balance case. 224 A Study of the Balance. towards the left, will shift the centre of gravity to a point to the right of avertical plane, passing through the contact-line, and the balance will swingtowards its previous orientation with reference to the horizon, but will notreach it, because the rolling of the edge on the supporting plane will bringthe contact-line vertically over G before that orientation is reached. Thebalance, therefore, is less sensitive to tiltings of its case than one playing onan absolutely sharp knife-edge. If G is above the supporting plane, then atilt of the case towards the left will also carry G to the left of the verticalplane of the contact-line, and the beam will swing in the direction of thetilt—exactly contrary to what one would expect—fig. 5h. Finally, if G liesin the contact-line, then tiltings of the ease will not affect the pointer-readings at all, because the movable mass remains concentrated on thecontact-line,


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Keywords: ., bookcentury1900, bookdecade1920, booksubjectproceed, bookyear1922