Woman standing on a rope problem.

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The discussion revolves around a physics problem involving a woman standing on a rope connected between a car and a tree, causing a deflection of 15 degrees. The calculated tension in the rope is approximately 222 lbs, derived from the forces acting on the woman. The user seeks clarification on how to determine the force the woman applies to the rope, questioning if the same approach used for the car and tree can be applied. Additionally, there is curiosity about the force exerted by the woman if she were standing on the ground. The conversation highlights the complexities of analyzing forces in static equilibrium scenarios.
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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.
 
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If she were standing on the ground, how much force would she be applying to the ground?
 
haruspex said:
If she were standing on the ground, how much force would she be applying to the ground?

Thanks! I initially thought it was that simple, but just over-analyzed it.
 

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