The radius of the 60-kg uniform disk is R = 500 mm. The space between the 80-kg mass and the vertical slot is lubricated, providing viscous damping with a damping factor of ζ = 0.15. If the couple M(t) = M0 sin ωt is acting on the disk, where M0 = 40 N · m and ω = 5 rad/s, determine the steady-state angular displacement θ (t) of the disk. Assume that the cable remains taut and does not slip on the disk.
