A non-uniform rod AB AB\,AB has length 5 m and mass 12 kg. It is held horizontally by two vertical light inextensible strings attached at A A\,A and at CCC, where AC=4AC=4AC=4 m. 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 CCC. Use g=9.8g=9.8g=9.8 m s−2^{-2}−2.
Find the distance of the rod's centre of mass from AAA.