A uniform horizontal rod AB AB\,AB has length 6 m and weight 120 N. It is hinged at AAA. A load of weight 80 N is attached 4 m from AAA. The rod is held in equilibrium by a cable attached at B B\,B which makes an angle of 30∘ 30^\circ\,30∘ above the rod and pulls upwards and towards AAA.
Find the tension in the cable.
Find the horizontal and vertical components of the force exerted by the hinge on the rod.
Hence find the magnitude of the force exerted by the hinge on the rod.