A homogeneous disk of mass m is connected at A and B to a fork-ended shaft of

Question:

A homogeneous disk of mass m is connected at A and B to a fork-ended shaft of negligible mass which is supported by a bearing at C. The disk is free to rotate about its horizontal diameter AB and the shaft is free to rotate about a vertical axis through C. Initially the disk lies in a vertical plane (θ0 =90?) and the shaft has an angular velocity φ0 = 16 rad/s. If the disk is slightly disturbed, determine for the ensuing motion

(a) The minimum value of φ,

(b) The maximum value of θ.