A thin and circular disc of mass \( M \) and radius \( R \) is rotating in a horizontal plane ab...

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A thin and circular disc of mass \( M \) and radius \( R \) is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity \( \omega \). If another disc of same dimensions but of mass \( M / 4 \) is placed gently on the first disc co-axially, then the new angular velocity of the system is
[AIEEE 2002]
(a) \( \frac{5}{4} \omega \)
(b) \( \frac{2}{3} \omega \)
(c) \( \frac{4}{5} \omega \)
(d) \( \frac{3}{2} \omega \)
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