A non uniform rod AB AB\,AB has length 100 cm and mass 10 kg. A mass of 5 kg is placed on the rod at CCC, where AC=20AC = 20AC=20 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 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.