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

Answer:

$T =99.94$

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

   

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

where  $\theta =arctan(\frac{1}{5})$

 

        $T =\frac{m*9.8}{2sin(tan^-1(\frac{1}{5})}$  

        $T =99.94$

the tension on the line is 99.94