The two ropes supporting the hammock shown in the illustration below are both tied to the trees at the same height. At what angle θ will the tension T in each rope be equal to the person’s weight. In other words, at what angle θ does Tension = mg?

Physics for Scientists and Engineers
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Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Vectors
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Problem 15P: The helicopter view in Fig. P3.15 shows two people pulling on a stubborn mule. The person on the...
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  1. The two ropes supporting the hammock shown in the illustration below are both tied to the trees at the same height. At what angle θ will the tension T in each rope be equal to the person’s weight. In other words, at what angle θ does Tension = mg?

 

(Hint: Use the force table to find the angle θ by placing three equal masses on the three strings. Position one of the masses (representing the person in the hammock) at 270O and position the other two masses (representing the tension in the ropes) at the angles that establish equilibrium.) Cross check your answer by finding the angle θ using the component method.

 

 

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