(10) [7 point] Box of mass M is held by a beam attached to a brick wall as shown. The length of the beam is L, and the mass of the beam is m. The beam is held in place by a horizontal wire under tension, attached at a distance (2/3)L from the pivot point on the wall. The beam make angle a with the wall. (a) Derive a symbolic expression for the tension in the wire. It should depend only on the above parameters and g. Show your work with clearly labeled diagrams and expressions. Identify the axis of rotation where you choose to evaluate Et (hint: this should be your first step and choose wisely!). (b) Find the net force the hinge exerts on the beam. (c) The maximum tension allowed in the wire is 1000 N. For a beam of length 3.0 m and weight 63.0 N, and for an angle of 70, what is the largest weight box (in newtons) that can be supported. m, L M (2/3) L a