A treatise on gyrostatics and rotational motion . 0 a > oPio: 26(1).. (7 > 0 Fio. 2(5(2). is a cubic curve, of which we can trace the chief properties as weget y2(l + z) = 0, so that for this value of z there is a vertical tangent which touches thecurve at the point 0 = 1, >/ = 0. If in (4) we put y = 0 and reject the factor1-: we get a\ 1 +z)-b2nz = 0, so that there is a vertical tangent which crosses the line y = 0 at the point2= -1 +b-n- a. llcsides these there is a vertical asymptote, the equation of which is We can now draw the graphs for different cases. First
A treatise on gyrostatics and rotational motion . 0 a > oPio: 26(1).. (7 > 0 Fio. 2(5(2). is a cubic curve, of which we can trace the chief properties as weget y2(l + z) = 0, so that for this value of z there is a vertical tangent which touches thecurve at the point 0 = 1, >/ = 0. If in (4) we put y = 0 and reject the factor1-: we get a\ 1 +z)-b2nz = 0, so that there is a vertical tangent which crosses the line y = 0 at the point2= -1 +b-n- a. llcsides these there is a vertical asymptote, the equation of which is We can now draw the graphs for different cases. First for a negative,that is the case in which the action of the gravity couple is to bring theaxis of the top back towards the vertical, when caused to deviate from it,the right-hand or determining branch of the curve extends from thetangent z—\ to z—— 1 [Fig. 26(1)]. If we draw a line parallel to theaxis of z, at distance u0 from that meets the curve in a point, the .... 114 (iVROSTATICS CHAP. z of which is very Dearly unity, unless 00 is great. Thus, if QQ
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