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Woman standing on a rope problem.

  1. Feb 26, 2013 #1
    A car is connected to a tree by a length of rope tied tightly. A 115 lb woman steps in the middle of the rope causing it to deflect by 15 degrees.


    1) What is the force applied to the car?

    2) What is the force applied to the tree?

    3) How much force does the woman apply to the rope?

    For questions 1 and 2 I arrived at T≈ 222 lbs:
    2T (sin 15)=115 lbs
    T (0.258)=57.5 lbs
    T=57.5 lbs/0.258
    T≈222 lbs

    My question is in regards to #3. Do I approach that question the same way I did for 1 and 2?

    Thank you for any help.
     
    Last edited: Feb 26, 2013
  2. jcsd
  3. Feb 26, 2013 #2

    haruspex

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    If she were standing on the ground, how much force would she be applying to the ground?
     
  4. Feb 26, 2013 #3
    Thanks! I initially thought it was that simple, but just over-analyzed it.
     
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