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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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