Climber With A Weight Of 686.2 N Is Held By Rope, Force Of Rope Through Com. Angles θ = 44.5° (wall-rope) And 28.0° (wall-legs). Her Feet Are About To Sliding On The Wall, What Is Coefficient Of Static Friction Between Her And The Wall?

The force normal to the wall exerted by the climber's feet is Usin[28^o], where you is some unknown compressive force in the climber's legs. The vertical force exerted on the wall by the climber's feet is Ucos[28^o]. At the point of impending motion, the coefficient of static friction will be Ucos[28^o]/(Usin[28^o]) = 1/tan[28^o] = 1.88. Her shoes are pretty sticky.