Solution:
From conservation of angular momentum for the isolated system of two disks:
A disk with moment of inertia rotates about a frictionless, vertical axle with angular speed . A second disk, this one having moment of inertia and initially not rotating, drops onto the first disk (Fig.). Because of friction between the surfaces, the two eventually reach the same angular speed The value of is
From conservation of angular momentum for the isolated system of two disks: