A thin circular ring of mass $M$  and radius $R$  is rotating about 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 rotates now with an angular velocity

  • A

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

  • B

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

  • C

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

  • D

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

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