1. A mason stretches a string between two points 50 ft apart on the same level with a tension of 10 lb at each end. If the string weighs 0.1 lb, determine the sag h at the middle of the string.
2. The Golden Gate Bridge in San Francisco has a main span of 4200 ft, a sag of 470 ft, and a total static loading of 21,300 lb per lineal foot of horizontal measurement. The weight of both of the main cables is included in this figure and is assumed to be uniformly distributed along the horizontal.
A power tug is towing a barge with a cable which has a mass of 14 kg per meter of its length. It is observed that the tangent to the cable at point A is horizontal. Determine the tensions at A and B.