Question

A horizontal clothesline is tied between 2 poles, 14 meters apart. When a mass of 2 kilograms is tied to the middle of the clothesline, it sags a distance of 5 meters. What is the magnitude of the tension on the ends of the clothesline?

Answer 1

Answer:13.72 N

Explanation:

Given

mass $m=2\ kg$

Length of clothesline $L=14\ m$

sagging after hanging mass $y=5\ m$

From FBD it clear that net force in vertical direction is zero therefore

$2T\sin \theta =mg$

$T=\frac{mg}{2\sin \theta }$

$T=\frac{2\times 9.8}{2\times \frac{5}{7}}$

$T=13.72\ N$