(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A mountain climber, in the process of crossing between two cliffs by a rope, pauses to rest. She weighs 514 N. As the drawing shows, she is closer to the left cliff than to the right cliff, with the result that the tensions in the left and right sides of the rope are not the same. Find the tensions in the rope (a) to the left and (b) to the right of the mountain climber.

The rope coming from the left is 65* below the edge of the cliff. The rope from the right is 80* below the edge of the cliff.

(* denotes degree symbol)

2. Relevant equations

ΣFnet = ma

3. The attempt at a solution

I'm really not sure how to go about this. The question is part of an online homework assignment, and I only have one attempt left for full credit. What I have done (obviously wrong):

Drew a free body diagram of two right triangles with the angles of the left one being 65*, 25*, 90* and the angles of the right one being 10*, 80*, 90*. I thought the answer was gotten by taking weight: 541N/sin(Θ) but have now found out this assumption was wrong. I'm thinking I am supposed to break the tension forces into their components now, but I'm not quite sure what to do with the components themselves. Any help would be appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Two tensions on one rope

**Physics Forums | Science Articles, Homework Help, Discussion**