6. A uniform rod \(A B\) of mass \(m\) and length \(4 a\) is free to rotate in a vertical plane about a horizontal axis through the point \(O\) of the rod, where \(O A = a\). The rod is slightly disturbed from rest when \(B\) is vertically above \(A\).
- Find the magnitude of the angular acceleration of the rod when it is horizontal.
- Find the angular speed of the rod when it is horizontal.
- Calculate the magnitude of the force acting on the rod at \(O\) when the rod is horizontal.
(5)