A thin circular ring of mass M and radius r is rotating about an axis passing through its centre and perpendicular to its plane with a constant angular velocity $\mathrm{\omega }$. Two objects, each of mass m are attached gently to the opposite ends of a diameter of the ring'

The ring now rotates with angular velocity $\mathrm{\omega }$

• A

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

• B

  $\mathrm{\omega M}(\mathrm{M}-\mathrm{m})$

• C

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

• D

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