. Edinburgh New Philosophical Journal. 9 132 Mr Sang on the Manner in which This being premised, I proceed to consider the motion of the watch-balance, when maintained by what is technically called the chronometer escapement. Disregarding the minute resist- ances experienced in the repassing of the slender spring attached to the detent lever, and in lifting the detent itself, the action of this escapement may be thus described: If V represent the centre of the oscillations, VF = Yf the. amount of friction, and A the point from which the oscillation commences, the elasticity of the spring, acti
. Edinburgh New Philosophical Journal. 9 132 Mr Sang on the Manner in which This being premised, I proceed to consider the motion of the watch-balance, when maintained by what is technically called the chronometer escapement. Disregarding the minute resist- ances experienced in the repassing of the slender spring attached to the detent lever, and in lifting the detent itself, the action of this escapement may be thus described: If V represent the centre of the oscillations, VF = Yf the. amount of friction, and A the point from which the oscillation commences, the elasticity of the spring, acting with an inten- sity proportional to VA, but diminished by the friction VF, will cause the balance to describe an oscillation round F as a vertex, and carry it to the distance FA, = FA on the other side. The time of this oscillation may be represented by the half revolution A FA,. When the balance begins to return from A,, it encounters a friction V/J and would clearly fall short of A, by a distance double of Yf. To prevent this, to restore the motion destroyed and to be destroyed by the friction, the maintaining power of the movement is introduced at the instant, we shall suppose, when the balance has reached the position B. Having erected the perpendicular BD, and cut it by the arc AyB from the centre J] BD will represent the velocity at B, and the angle A/t/D the time occupied in the description of the path A,B. .Representing by the lineyM the intensity of the pressure com- municated by the impulse tooth, M will clearly be the vertex of the minute part of an oscillation performed by the balance while under the influence of the maintaining power ; the ordi-. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original
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