A ring of mass M and radius r is moving with angular velocity ω. If another two bodies each of mass m is placed on its diameter, the resultant angular velocity will be :

1
\(\frac{\omega M}{M+m}\)
2
\(\frac{\omega (M-2m)}{M}\)
3
\(\frac{\omega M}{M+2m}\)
4
\(\frac{\omega (M+2m)}{M}\)

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