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Disk 1 of a moment of inertia $I_1$ is spinning with an angular speed $ \omega $. Disk 2 with a moment of inertia $I_2$ is initially at rest.

Disk 1 is slowly lowered onto Disk 2 such that they eventually spin together with a common angular speed equal to

A

$ \omega $

B

$ \cfrac{\omega}{2} $

C

$ \cfrac {I_1\omega}{I_2} $

D

$ \cfrac {I_1 \omega}{I_1+I_2} $

E

$ \cfrac {I_2\omega}{I_1 + I_2} $

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