$A$ thin circular ring of mass $M$ and radius $r$ is rotating with a constant angular velocity $\omega$. Two particles,each of mass $m$,are attached to the opposite ends of a diameter of the ring. The new angular velocity of the ring will be:

  • 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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$A$ 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 will now rotate with an angular velocity:

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