A horizontal clothesline is tied between 2 poles, 10 meters apart. When a mass of 4 kilograms is tied to the middle of the clothesline, it sags a distance of 4 meters. What is the magnitude of the tension on the ends of the clothesline?

T1 = 31.44 [N]

Explanation:

This is a classic static problem, where using Newton's third law we can find the tension at both ends of the clothesline.

In the attached diagram we can find the free body diagram, with the forces acting on the mass.

By summing forces on the X-axis, we can find that both T1 & T2 forces are equal.

Then by summing forces on the Y axis, we can find the T1 tension and this will be equal to the T2 tension value.

In the attached image you can see the equations deduced, by means of the free body diagram.

T1 = 31.44[N]

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