A ring of mass \( m \) and radius \( r \) has a particle of mass \(...

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A ring of mass \( m \) and radius \( r \) has a particle of mass \( m \) attached to it at a point \( A \). The ring can rotate about a smooth horizontal axis which is tangential to the ring at a point \( B \) diametrically opposite to \( A \). The ring is released from rest when \( A B \) is horizontal. Find the angular velocity and the angular acceleration of the body when \( A B \) has turned through an angle \( \frac{\pi}{3} \).
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