33. A cable of length Le supports a beam of length Ly, so that it is horizontal when the weight W is attached at the beam end. The principles of statics can be used to show that the tension force T in the cable is given by T= Lb Lc W D√√L-D² where D is the distance of the cable attachment point to the beam pivot. See Figure P33. Le D W Figure P33 LD a. For the case where W = 400 N, L = 3 m, and Le = 5 m, use element-by-element operations and the min function to compute the value of D that minimizes the tension T. Compute the minimum tension value. b. Check the sensitivity of the solution by plotting T versus D. How much can D vary from its optimal value before the tension 7' increases 10 per- cent above its minimum value?