A non-uniform rod AB AB\,AB has length 200 cm and mass 15 kg. A particle of mass 10 kg is attached 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 at A A\,A is 10 N greater than the tension at BBB.
Given that g=9.8g=9.8g=9.8 m s−2^{-2}−2, find, to the nearest centimetre, the distance of the rod's centre of mass from AAA.