The small block of mass m slides in the smooth radial slot of the disk, which turns free...

The small block of mass m slides in the smooth radial slot of the disk, which turns freely in its bearing. If the block is displaced slightly from the center position when the angular velocity of the disk is ω_0, determine its radical velocity v_r as a function of the radical distance r. The mass moment of inertia of the disk about its axis of rotation is I₀.