In this question use g=9.8g = 9.8g=9.8 m s−2^{-2}−2.
A non-uniform rod AB AB\,AB has length 200 cm and mass 15 kg. A particle of mass 10 kg is attached to the rod at CCC, where AC=40AC = 40AC=40 cm.
The rod is held in horizontal equilibrium by two vertical light inextensible strings attached to the rod at A A\,A and at BBB. The tension in the string at A A\,A is 10 N greater than the tension in the string at BBB.
Find the distance of the centre of mass of the rod from AAA, giving your answer to the nearest centimetre.
56 exam-style questions on OCR (MEI) A Level Maths 3.6 Rigid Bodies (A-level only), covering 3.6.1 Moment of a force (A-level only), 3.6.2 Equilibrium of a rigid body (A-level only), 3.6.3 Turning effect of forces (A-level only), and 3.6.4 Weight acting through a point (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.