pole in Figure 5.24 is at a 90.0º bend in a power line and is therefore subjected to more shear force th4? poles in straight parts of the line. The tension in each line is 4.00×10? 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 stiffness 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 30.0º with the vertical. (Clearly, the guy wire must be in the opposite direction of the bend.)
Step-by-step solution Step 1 of 4 The radius of the pole The cross-sectinal area of the pole Step 2 of 5 The initial length of the pole The young’s modulus of the pole The compression of the pole The tension in the ropes Step 3 of 5 The force parallel to the pole is the sum of the vertical components of the tensions in the ropes; Step 4 of 5 The change in length due to applied force can be calculated by using the formula below as, The compression in the pole is .