A non-uniform beam AB of length 8 m and mass 8 kg rests on a pivot at the mid-point C. When a mass of 2 kg rests on the beam 1.5 m from B, the system is in equilibrium. Find the distance between A and the centre of mass of the beam.
A uniform rod AB of length 10 m and weight 5 N rests on two supports at B and C, where C is 1 m from A. A weight of 6 N is attached to the rod 2 m from A. Given that when a load is attached 0.5 m from A, the rod is on the point of tilting about C, Find the weight of this load in Newton.