Elements of Mechanics Treated By Means of the Differential And Integral Calculu
Elements of Mechanics Treated By Means of the Differential And Integral Calculu
William G William Guy Peck
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The phenomena observed are the same as before. Before explaining these phenomena, it will be necessary to point out the conventional rules for attributing proper signs to the different rotations. Let OX^ OY, and OZ, be three rectangular axes. It has been agreed to call all dis- tances, estimated from 0, to- ^i wards either A", I", or Z^j^osi- tive / consequently, all distances q estimated in a contrary direction P^-V. U^-.^- must be regarded as negative. Y ^ V' If a body revolve about either Fi...g. 133. Axis, or about any line through the origin, in such a manner as to appear to an eye beyond it, in the axis and looking towards the origin, to move in the same direction as the hands of a watch, that rotation is considered positive. If rotation takes place in an opposite direction, it is negative. The arrow-head ^4, indicates the direction of positive rotation about the axis of X. To an eye situated beyond the body, as at JT, and looking towards the origin, the motion appears to be in the same direction as the motion of the hands of a watch.
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