Answer :
Answer:
The magnitude of the tension on the ends of the clothesline is 41.85 N.
Explanation:
Given that,
Poles = 2
Distance = 16 m
Mass = 3 kg
Sags distance = 3 m
We need to calculate the angle made with vertical by mass
Using formula of angle
[tex]\tan\theta=\dfrac{8}{3}[/tex]
[tex]\thta=\tan^{-1}\dfrac{8}{3}[/tex]
[tex]\theta=69.44^{\circ}[/tex]
We need to calculate the magnitude of the tension on the ends of the clothesline
Using formula of tension
[tex]mg=2T\cos\theta[/tex]
Put the value into the formula
[tex]3\times9.8=2T\times\cos69.44[/tex]
[tex]T=\dfrac{3\times9.8}{2\times\cos69.44}[/tex]
[tex]T=41.85\ N[/tex]
Hence, The magnitude of the tension on the ends of the clothesline is 41.85 N.