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

A mountain climber is rappelling down a vertical wall. The rope attaches to a buckle strapped to the climber's waist 15 cm to the right of his center of gravity and makes an angle of θ = 23° with the wall. The climber weighs 616 N. The distance from his center of gravity to the wall is 91 cm and the distance from his feet on the wall to the buckle is 106 cm

(a) Find the tension in the rope

(b) Find the magnitude and direction of the contact force exerted by the wall on the climber's feet.

2. Relevant equations

F = ma

g = 9.8

Weight of climber = 616 N = vertical force of ropes tension plus force against feet

Vertical component of rope tension force = total tension cos 23 degrees

Force on feet = ?

3. The attempt at a solution

616 N = F total * .921 + ?

I am having real difficulty with this as I don't understand the importance of the center of gravity.

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# Mountain Climber Rope Tension

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