A disk of radius 0.2meters and mass 0.25kg is free to rotate without friction about an axis through its center and perpendicular to its face. Attached to the disk are four small pucks of mass=0.10kg each at a distance of 0.15m from the center of the disk, equally spread apart. A string is wrapped around the edges of the disk and has a 0.25kg block attached to the string. The block is released from rest and allowed to fall 0.5m to the ground.
Find the moment of inertia about its axis of rotation and the angular acceleration of the rotating system.