Question 6 A cable of length Le supports a beam of length L, 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 LcW D√L² - D² where D is the distance of the cable attachment point to the beam pivot. See Figure 2. Lo D W Lo Figure 2-Beam a. For the case where W = 400 [N], L = 3 [m], and Lc = 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. [2 marks] b. Check the sensitivity of the solution by plotting T versus D. How much can D vary from its optimal value before the tension T increases 10 percent above its minimum value?