A thin circular ring of mass $M$ and radius $R$ is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity $\omega$. If two objects each of mass $m$ be attached gently to the opposite ends of a diameter of the ring, the ring will then rotate with an angular velocity

  • A

    $\frac{{\omega (M - 2m)}}{{M + 2m}}$

  • B

    $\frac{{\omega M}}{{M + 2m}}$

  • C

    $\frac{{\omega M}}{{M + m}}$

  • D

    $\frac{{\omega (M + 2m)}}{M}$

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