The post is made of Douglas fir and has a diameter of 60 mm. If it is subjected to the loa...

The post is made of Douglas fir and has a diameter of 60 mm. If it is subjected to the load ol 20 kN and the soil provides a frictional resistance that is distributed along its length and varies linearly from w = 0 at y = 0 to w = 3 kN/m at y = 2 m, determine the force F at its bottom needed for equilibrium. Also, what is the displacement of the top of the post A with respect to its bottom B? Neglect the weight of the post.