A solid aluminum sphere of radius 4 in. is welded to the end of a 10-in.-long rod AB of ne...

A solid aluminum sphere of radius 4 in. is welded to the end of a 10-in.-long rod AB of negligible mass which is supported by a ball-and-socket joint at A. Knowing that the sphere spins as shown about line AB at the rate of 600 rpm, determine the angle β for which the sphere will precess about a vertical axis at the constant rate of 60 rpm in the sense indicated.

Fig. P18.112