A rope 26 ft long is attached to two points A and B, 20 ft apart at the same level. A load of 250 lb is carried at the middle of the rope. What forced is exerted on A?

1 answer

The rope hangs in a "V" shape. The two sides of the rope make angles of
cos^-1 (10/13) = 39.7 degrees with the horizontal. Each side of the rope suppoerts half the weight. If T is he tension force in the rope,

2 T sin39.7 = (weight) = 250 lb

T = 125/sin39.7 = 195.6 lb