• 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 I9. (a) Show that the condition for steady precession of the top is (Ivz 2 I9 ˙ f cos u) ˙ f 5 Wc where f˙ is the rate of precession and vz is the rectangular component of the angular velocity along the axis of symmetry of the top. (b) Show that if the rate of spin c˙ of the top is very large compared with its rate of pre