$A$ circular disc has a moment of inertia $I_2$ about an axis passing through its center and perpendicular to its plane. Another disc with a moment of inertia $I_1$ is placed on it. If the system rotates about the same axis with an initial angular velocity $\omega$,what will be the final angular velocity of the combined system?

  • A
    $\omega$
  • B
    $\frac{I_1 \omega}{I_1 + I_2}$
  • C
    $\frac{(I_1 + I_2) \omega}{I_1}$
  • D
    $\frac{I_2 \omega}{I_1 + I_2}$

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