8. A crate of mass M = 425 kg hangs from a rope that is attached to a system consisting of a hinged beam and a horizontal cable. The system

has dimensions a = 1.90 m and b = 2.45 m. The uniform beam has amass of 81.0 kg. The cable and rope have negligible masses. [20 pts](a) Draw a free-body diagram of the beam indicating the horizontal and vertical components at each point where forces act. Justify your choice of the direction for each force (with words or a calculation). If a component at a location where a force acts is zero be sure to say so.(b) Determine the magnitude of the tension in the cable and the magnitudes of the horizontal and vertical components of the force on the beam at the hinge.