The spool has a mass of 60 kg and a radius of gyration kG = 0.3 m. If it is released from...

The spool has a mass of 60 kg and a radius of gyration kG = 0.3 m. If it is released from rest, determine how far its center descends down the smooth plane before it attains an angular velocity of ω = 6 rad/s. Neglect friction and the mass of the cord which is wound around the central core.