1. The uniform rod AB with a length 6 ft has a normally distributed weight G ~ N(20, 0.5²) lb. (1) Determine the distribution of the force in the cable when the rod is in the position shown. (2) The maximum tension of the rod follows S ~ N(16,0.2²) lb, what is the probability the system might fail if G and S are independent?

Answer: (1) T ~ N(14.28, 0.8²) lb

(2) P=0.0184