Consider a small particle \( m \) inside a ring of mass \( 2 m \) and radius \( R \). There is no friction between the particle and ring. The ring can roll without slipping on the ground. The system is released from rest from the position shown, where \( \theta \) is small. The angular frequency of small oscillations is \( \sqrt{\frac{n g}{R}} \). Find \( n \).
