Suppose you are to determine the type of materials and dimensions of the required cable and bars shown to the right. At this point, you have no information about what materials are available but you wish to derive equations to describe the system so you may plug in values later. To this end, suppose the cable can withstand maximum tensile force of T kN, and bars AB and AD can support maximum compressive forces of C, kN and C kN, respectively. Given this, (a) Determine the set of equations which describe the largest weight W that may be supported. The equations should be solved for the weight W explicitly and simplified. (b) Describe how these equations can be used to find the largest weight once the maximum specs of the bars and cable are determined. B W C X NC 3 m 2 m 6m A D y