A nonrotating cylindrical disk of moment of inertia I is dropped onto an identical disk rotating at angular speed ω. \ \ \ \ Assuming no external torques, what is the final common angular speed of the two disks?

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Angular momentum $\"image\"$ , where $\"image\"$ is the moment of inertia and $\"image\"$ is the angular velocity.

The initial momentum of disk 1 is $\"\"$ \ \ The initial momentum of disk 2(Non-rotating disk) $\"\"$ .

If the 2 disks are combined then $\"\"$ .

Law of conservative of angular momentum:

Angular momentum before the two disks get combined is equal to the angular momentum after the two disks are combined.

$\"\"$

The two disks are identical $\"\"$ .

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When a nonrotating cylindrical disk of moment of inertia is dropped onto an identical disk rotating then $\"\"$