The top shown is supported at the fixed point O and its moments of inertia about its axis...

The top shown is supported at the fixed point O and its moments of inertia about its axis of symmetry and about a transverse axis through O are denoted, respectively, by I and I’.(a) Show that the condition (or steady precession of the top is

where   is the rate of precession and ωz is the rectangular component of the angular velocity along the axis of symmetry of the top. (b) Show that if the rate of spin of the top is very large compared with its rate of precession , the condition for steady precession is .(c) Determine the percentage error introduced w hen this last relation is used to approximate the slower of the two rates of precession obtained for the top of Prob. 18.111.

Fig.P18.112