A non-uniform rod AB AB\,AB has length 5 m and mass 12 kg. It is hinged at A A\,A and held horizontally in equilibrium by a cable attached at BBB. The cable has tension 100 N and makes an angle of 60∘ 60^\circ\,60∘ above the rod, pulling upwards and towards AAA.
Find the distance of the rod's centre of mass from AAA.
Find the horizontal and vertical components of the force exerted by the hinge on the rod. Use g=9.8g=9.8g=9.8 m s−2^{-2}−2.