A non-uniform rod AB AB\,AB has length 200 cm and mass 15 kg. A load of mass 10 kg is placed at CCC, where AC=40AC = 40AC=40 cm. The rod is held horizontally by two vertical light inextensible strings attached at A A\,A and BBB. The tension in the string at A A\,A is 10 N greater than the tension in the string at BBB.
Use g=9.8 m s−2g = 9.8\text{ m s}^{-2}g=9.8 m s−2.
Find, to the nearest centimetre, the distance of the centre of mass of the rod from AAA.
42 exam-style questions on WJEC A Level Maths 4.10 Moments (A-level only), covering 4.10.1 Moments (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.