The post is made of Douglas fir and has a diameter of 100 mm. if it is subjected to the load of20 kN and the soil provides a frictional resistance that is distributed along its length and varies linearly from IV= 4 kN/m at y = 0 to IV =12 kN/m at y = 2 m. determine the force F at its bottom needed for equilibrium. Also, what is the displacement or the top of the post A with respect to its bottom B? Neglect the weight of the post.