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

Step-by-step 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=(mg)/(2\sin \theta )`

`T=(2* 9.8)/(2* (5)/(7))`

`T=13.72\ N`