- #1

princessfrost

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**Mountaineers often use a rope to lower themselves down the face of a cliff (this is called rappelling). They do this with their body nearly horizontal and their feet pushing against the cliff. Suppose that an 82.5 kg climber, who is 1.54 m tall and has a center of gravity 1.3 m from his feet, rappels down a vertical cliff with his body raised 28.9 degree above the horizontal. He holds the rope 1.46 m from his feet, and it makes a 24.2 degree angle with the cliff face.**

http://session.masteringphysics.com/problemAsset/1039093/3/YF-11-33.jpg

a) What tension does his rope need to support?

http://session.masteringphysics.com/problemAsset/1039093/3/YF-11-33.jpg

a) What tension does his rope need to support?

I found the tension to be equal to - mg(1.3) sin(28.9) + T(1.3) sin(180 - 24.2-28.9)=0 and then i solve for T. T= (mg(1.3)sin(28.9))/(1.3sin(180-24.2-28.9)). I plugged in the numbers and found the answer to be 488.61 N but it's wrong. Can someone please help me? Thank you!