4. Statically Determinate Cedar Post Force and Displacement A post carrying a load of 36 kN is made of cedar and has a diameter of 90 mm. The soil provides a frictional resistance along the post’s length that varies linearly from w = 0 at y = 0, to w = 6 kN/m at y = 1.5 m. The Cedar modulus of elasticity is 6890 MPa. (a) Determine the force F acting at the bottom of the post to maintain equilibrium. (b) Determine the displacement of the top of the post relative to the bottom. You can neglect the weight of the post.