A thin circular ring of mass M and radius R is rotating about its axis with a constant angular velocity ω. 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 –
1
\(\frac{{\omega \left( {M - 2m} \right)}}{M}\)
2
\(\frac{{\omega M}}{{M + 2m}}\)
3
\(\frac{{\omega \left( {M - 2m} \right)}}{{M + 2m}}\)
4
\(\frac{{\omega \left( {M\; + \;2m} \right)}}{M}\)