A thin circular ring of mass $m$ and radius $R$ is rotating  bout its axis with a constant angular velocity $\omega$. Two objects each of mass $M$ are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with an angular velocity $\omega '$  = 

  • A

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

  • B

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

  • C

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

  • D

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

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