Balancing act. The tightrope walker in Figure P4.8 gets tired and decides to stop for a rest. During this rest period, she is in transnational equilibrium. She stops at middle of the rope and finds that both sides of the rope make an angle θ = 15° with the horizontal. 

(a) Sketch the walker and the rope. Show all the forces acting on the point of the rope on which the walker stands (call this point P). Also include a coordinate system. 

(b) Determine the components of all the forces on point P along the coordinate axes. 

(c) Write the conditions for static equilibrium along your two coordinate directions. 

(d) If the mass of the tightrope walker is 60 kg, what is the tension in the rope?

Figure P4.8