1. The tree surgeon attempts to pull down the partially sawn-through tree trunk. He creates a tension TA = 200 N in the rope, which has a mass of 0.6 kg per meter of its length. Determine the angle eA at which he pulls, the length L of rope between points A and B, and the tension TB at point B.
2. A length of cable which has a mass of 1.2 kg /m is to have a sag of 2.4 m when suspended from the two points A and B on the same horizontal line 10 m apart. For comparison purposes, determine the length L of cable required and plot its configuration for the two cases of (a) assuming a parabolic shape and (b) using the proper catenary model. In order to more clearly distinguish between the two cases, also plot the difference (yC - yP) as a function of x, where C and P refer to catenary and parabola, respectively. Use the approximation as stated in Eqs. (5/16) and (5/16a) as needed.