Determine the force $F$ at its bottom needed for equilibrium.

Express your answer to three significant figures and include appropriate units.

The post is made of Douglas fir and has a diameter of $100mm($

Figure $1)$ It is subjected to the load of $20kN$ and the soil provides a

frictional resistance distributed along its length and varies linearly

from $w=6k\frac{N}{m}$ at $y=0m$ to $w=10\mathrm{.}3k\frac{N}{m}$ at $y=2m.$

Neglect the weight of the post.

Figure

Part B

What is the displacement of the top of the post A with respect to its bottom $B?$

Express your answer to three significant figures and include appropriate units.

${}_{\frac{A}{B}}={|}_{\text{i}\text{n}\text{n}}|$