SOLUTION: A horizontal clothesline is tied between 2 poles, 12 meters apart. When a mass of 5 kilograms is tied to the middle of the clothesline, it sags a distance of 2 meters. What is the

Algebra ->  Vectors -> SOLUTION: A horizontal clothesline is tied between 2 poles, 12 meters apart. When a mass of 5 kilograms is tied to the middle of the clothesline, it sags a distance of 2 meters. What is the       Log On


   

Question 1169648: A horizontal clothesline is tied between 2 poles, 12 meters apart. When a mass of 5 kilograms is tied to the middle of the clothesline, it sags a distance of 2 meters. What is the magnitude of the tension on the ends of the clothesline?
Answer by ikleyn(52921) About Me  (Show Source):
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The tension multiplied by sin(a) should provide the VERTICAL force of 2.5 kg * 9.8 newtons.


Here "a" is the angle of the clothesline with the horizon.


To calculate sin(a), use the fact that the right-angled triangle has one leg of 2 meters and the other leg of 6 meters.


Now you have all instructions to complete the solution on your own.