Question

A horizontal clothesline is tied between 2 poles, 20 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

`T =99.94`

Step-by-step explanation:

From the question we are told that

The distance between the poles is
`d = 20 \ m`

The mass is
`m = 2 \ kg`

The sag distance
`=5m`

Generally the tension in the rope is mathematically represented as as

`T =(mg)/(2sin(\theta))`

where
`\theta =arctan((1)/(5))`

`T =(m*9.8)/(2sin(tan^-1((1)/(5)))\\`

`T =99.94`

the tension on the line is 99.94