Question

A horizontal clothesline is tied between 2 poles, 14 meters apart. When a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 3 meters.What is the magnitude of the tension on the ends of the clothesline?Tension =

Answer 1

Answer:

The magnitude of the tension on the ends of the clothesline is 21.32 N.

Explanation:

Given that,

Distance = 14 m

Mass = 4 kg

Height = 3 m

We need to calculate the angle made with vertical mass

$\theta=\tan^{-1}\dfrac{7}{3}$

$\theta=66.80^{\circ}$

We need to calculate the magnitude of the tension on the ends of the clothesline

Using formula of tension

$2T\sin\theta-mg=0$

Put the value into the formula

$T=\dfrac{4\times9.8}{2\sin66.80}$

$T=21.32\ N$

Hence, The magnitude of the tension on the ends of the clothesline is 21.32 N.