102. REASONINGSince the mountain climber is at rest, she is in equilibrium and the net force acting on her must be zero. Three forces comprise the net force, her weight, and the tension forces from the left and right sides of the rope. We will resolve the forces into components and set the sum of the xcomponents and the sum of the ycomponents separately equal to zero. In so doing we will obtain two equations containing the unknown quantities, the tension TLin the left side of the rope and the tension TRin the right side. These two equations will be solved simultaneously to give values for the two unknowns. SOLUTIONUsing Wto denote the weight of the mountain climber and choosing right and upward to be the positive directions, we have the following free-body
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