A cable of length L, supports a beam of length L, so that it is horizontal...

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A cable of length L, supports a beam of length L, so that it is horizontal when the weight Wis 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 = IsLW DVR-D where Dis the distance of the cable attachment point to the beam pivot. See Figure P33. Lc Figure P33 a. For the case where W= 400 N, L; = 3 m, and L, = 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 Tincreases 10 percent above its minimum value? A cable of length L, supports a beam of length L, so that it is horizontal when the weight Wis 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 = IsLW DVR-D where Dis the distance of the cable attachment point to the beam pivot. See Figure P33. Lc Figure P33 a. For the case where W= 400 N, L; = 3 m, and L, = 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 Tincreases 10 percent above its minimum value?

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