Question

The pole in Figure 5.24 is at a $90.0^\circ$ bend in a power line and is therefore subjected to more shear force than poles in straight parts of the line. The tension in each line is $4.00 \times 10^{4}\textrm{ N}$, at the angles shown. The pole is 15.0 m tall, has an 18.0 cm diameter, and can be considered to have half the strength of hardwood. (a) Calculate the compression of the pole. (b) Find how much it bends and in what direction. (c) Find the tension in a guy wire used to keep the pole straight if it is attached to the top of the pole at an angle of $30.0^\circ$ with the vertical. (Clearly, the guy wire must be in the opposite direction of the bend.)

Final Answer

- $1.1 \textrm{ mm}$
- $6.6 \textrm{ mm}$ along the acute angle bisector between the power lines
- $1.11 \times 10^{5}\textrm{ N}$

Solution Video