A non uniform rod AB AB\,AB has length 5 m and mass k k\,k kg. The rod is supported by two light inextensible strings attached at A A\,A and CCC, where AC=4AC = 4AC=4 m.
Given that the tension in the string at A A\,A is twice the tension in the string at CCC, find the tension in the string at C C\,C in terms of k k\,k and ggg.
Find the distance 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.