A solid cone of height 9 in. with a circular base of radius 3 in. is supported by a ball-a...

A solid cone of height 9 in. with a circular base of radius 3 in. is supported by a ball-and-socket joint at A. Knowing that the cone is spinning about its axis of symmetry AB at the rate of 3000 rpm and that AB forms an angle β= 60° with the vertical axis AC, determine the two possible rates of steady precession oi the cone about the axis AC.

Fig.P18.110