A thin circular disc of mass \(M\) and radius \(R\) is rotating in a horizontal plane about an axis passing through its …

A thin 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 angular velocity \(\omega\). If another disc of same dimensions but of mass \(M / 2\) is placed gently on the first disc co-axially, then the new angular velocity of the system is :

[JEE Main 2024, 08 Apr (Shift 2)]