Final answer:
The question requires applying physics concepts to calculate the compression of a pole, how much it bends, and the tension in a guy wire used to keep the pole straight, using given forces and the geometry of the system.
Step-by-step explanation:
The student's question is asking for calculations relating to the physical properties and forces acting on a pole at a bend in a power line. This is a classic physics problem dealing with mechanics, specifically the concepts of tension, compression, and equilibrium.
Solution to Part (a)
Firstly, to calculate the compression of the pole, we need to consider the vertical components of the tension in the power lines acting on the pole. The vertical tension components combine to exert a downward force on the pole, which results in the compression of the pole.
Solution to Part (b)
Next, to find how much the pole bends and in what direction, the horizontal components of the tension and the material properties of the pole must be considered. These components create a bending moment at the base of the pole. The direction will be towards the resultant of these forces.
Solution to Part (c)
Lastly, to find the tension in the guy wire, we apply equilibrium conditions to the forces and moments on the pole. The tension in the guy wire will counteract the horizontal bending moment, and we can calculate it by considering the geometry of the situation and the angle at which the wire is attached to the pole.