A solid cone of height 180 mm with a circular base of radius 60 mm is supported by a ball...

A solid cone of height 180 mm with a circular base of radius 60 mm is supported by a ball and socket at A. The cone is released from the position θ0 = 30° with a rate of spin  = 300 rad/s. a rate of precession  = −4 rad/s, and a zero rate of nutation. Determine (a) the maximum value of θ in the ensuing motion, (b) the corresponding values of the rates of  spin and precession, (c) the value of θ for which the sense of the precession is reversed. See hint of Prob. 18-139.)

Fig. P18.140