1 m d m I m I m 2 m I m 5 N X 3g N 5g N 2 A uniform rod AB of length 5m and mass 6 kg is pivoted at C where AC = 1.5 m. Calculate the mass of the particle which must be attached at A to maintain equilibrium with the rod horizontal. 3 A uniform beam AB of length 4m and mass. 21 kg has a particle of mass 15 kg attached at A and a particle of mass 18 kg attached at B. The beam is balanced horizontally on a single support at C. Find the distance AC. 4 A non-uniform rod AB of length 3m and mass 4 kg rests horizontally on two supports at C and D where AC = 0.5m and BD = 1 m. Given that the centre of mass of the rod is at M where AM = 1.75 m calculate the magnitudes of the reactions at the supports. 5 A rod AB of mass 6 kg and length 3m has its centre of mass 1.2m from A. It is suspended horizontally from the ceiling by two vertical strings one attached at A and the other at the point C where AC is 2.5 m. Find the magnitude of the tensions in the strings. 6 A non-uniform plank AB of length 5m and mass 30 kg is pivoted at its mid-point. The plank is in equilibrium in a horizontal position when a child of mass 25 kg sits at A and a