A disk of mass 2 kg and radius 4 meters is joined to the frictionless bearing at its edge. The disk is free from vertical. If the disk is rotated 180 degrees, determine (about the bearing axis in SI units)
i) Moment of inertia of the disk.
ii) Change in the gravitational potential energy of the disk via 180 degree rotation.
iii) The instantaneous angular velocity at the bottom.
iv) Instantaneous tangential velocity at the center of mass of disk at the bottom.
v) The average torque acting on disk via 180 degree rotation.