. 
ie. 
ae, 
fs: 
neous diminution, and remained constant 
through another undulation, a curve, of larger 
amplitude and sagitta a/b’a” would be de- 
scribed, and the axis would again rise to its 
original elevation @’’, and again be brought to 
Test, e might then, on casual considera- 
tion of the subject, expect to see the undula- 
tions become more and more sensible as the 
oing Se gradual diminution between a and a’. 
the axis up to the theoretical curve aba’, but 
alower curve a b,a, is described ; 
€culmination a, is reached, it is below the 
orginal elevation a’. 
ut the 2d of our general equations for the 
8¥toscope (4), [afterwards put under the sim- 
ple form eq. (f) V,? 29 h] which is inde- 
Pendent of n, shows that the angular velocity 
Of the axis will always be that due to its actual 
fet = h below the initial elevation. On reaching 
ie culmination a, therefore, the axis will not 
come to rest, but will have a horizontal veloc- 
Pel due to the fall a’a,, and the curve will not 
nt & cusp but an injlexion at a,. 
a ¢ axis will commence its second descent, 
cole tefore, with an initial horizontal velocity. 
“will not descend as much as it would have 
J. G. Barnard on the Motion of the Gyroscope. 
-” 
Pin) 
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- 
- 
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se eas a en ae ot 
