A 50.0 kg mountain climber is rappelling down a steep mountain face. Her foot makes contact with the rock at point A. Her rope attaches to her harness at point B, which is located at x1 = 0.77 m and y1 = 0.42 m relative to point A. Her centre of mass is found at point C, which has an x coordinate x2 = 0.92 m relative to point A.
the tension in the rope if the rope makes an angle of θ = 37° with respect to the horizontal.
What is the minimum coefficient of static friction between her foot and the rock to prevent her from slipping?