An adventurous archaeologist crosses between two rock cliffs by slowly going band over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Figure 5.38). The rope will break if the tension in it exceeds 2.50 Times 10^4 N. Our hero's mass is 90.0 kg If the angle theta is 10.0 degree, find the tension in the rope. Start with a free-body diagram of the archaeologist. What is the smallest value the angle theta can have if the rope is not to break? A 1130-kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in Fig. 5.39. The cable makes an angle of 31.0 degree above the surface of the ramp, and the ramp itself rises at 25.0 degree above the horizontal. Draw a free-body diagram for the car. Find the tension in the cable. How hard does the surface of the ramp push on the car ?