Am = 60 kg woman practices her tight rope routine on a slackline in her backyard. The line is tied between two trees that are d = 5 m apart. When she is in the middle of the line, it makes a 0 = 10° angle with the horizontal on either side of her. The tension in the line is the same on both sides. This 10º I

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Chapter1: Units, Trigonometry. And Vectors
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Please look at the picture to be able to answer the following questions. 

Question 1: If FT is the force of tension in one side of the line, which of the following represents the total force of the line on the woman in the y direction? 

           a. FT sin θ

           b. 2 FT cos θ

           c. FT cos θ

           d. 2 FT sin θ

Question 2: Which of the following is the most useful formulation of Newton's 2nd Law in the y direction? 

          a. mg + 2 FT cos θ = 0 

          b. mg - 2 FT sin θ = ma y 

          c. mg + 2 FT sin θ = 0 

          d. mg - 2 FT sin θ = 0 

Question 3: What is the magnitude of the tension force in one side of the line? Assume g = 9.8 m/s^2 and answer in N. 

 

Please answer all three questions....

 

Slackline
Am = 60 kg woman practices her tight rope routine on a slackline in
her backyard. The line is tied between two trees that are d = 5m
apart. When she is in the middle of the line, it makes a 0 = 10° angle
with the horizontal on either side of her. The tension in the line is the
same on both sides.
Mi
10⁰
-I
Transcribed Image Text:Slackline Am = 60 kg woman practices her tight rope routine on a slackline in her backyard. The line is tied between two trees that are d = 5m apart. When she is in the middle of the line, it makes a 0 = 10° angle with the horizontal on either side of her. The tension in the line is the same on both sides. Mi 10⁰ -I
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