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

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 = 8 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.