A clothesline is attached to two fixed ends which are 10.0m apart. A pulley of mass 40.0kg hangs freely in the middle of the line. The sag at the centre is 0.20m. Find the tension in each half of the clothesline.

Answer 1

α is the angle that tention T makes with vertical line
tan α=5/0.2 =25
α=87.7⁰
2Tcos α=mg
T=mg/2cos α =40•9.8/2•cos87.7⁰ =4884 N