Solve the below problem:
Q: A homogeneous disk of radius 9 in. is welded to a rod AG of length 18 in. and of negligible weight which is supported by a ball and socket at A. The disk is released with a rate of spin 0 50 rad/ψ = s, with zero rates of precession and notation, and with rod AG horizontal (θ0 = 90°).
Determine
(a) The smallest value of θ in the ensuing motion,
(b) The rates of precession and spin as the disk passes through its lowest position.