A non uniform rod AB AB\,AB has length 120 cm and mass 15 kg. A mass of 5 kg is placed on the rod at CCC, where AC=40AC = 40AC=40 cm. The rod is held in horizontal equilibrium by two light inextensible strings attached at A A\,A and BBB.
Given that the tension in the string at A A\,A is 9.8 N greater than the tension in the string at BBB, find the tension in the string at BBB.
Hence find the distance, to the nearest cm, of the rod's centre of mass from AAA.
54 exam-style questions on Edexcel A Level Maths Moments, covering 4.1 Moments, 4.2 Resultant Moments, 4.3 Equilibrium, 4.4 Centres of Mass, and 4.5 Tilting. Each one has a worked solution and a mark scheme showing where the marks go.