Answer:
F = 118.14 N
Explanation:
For this exercise we will use the rotational equilibrium condition
∑ τ = I α = 0
Since the pole is in balance.
Let's fix a reference system located the point where the post rests on the fence, select the counterclockwise rotation as positive
-F (L -0.35) + W L / 2 = 0
F = W L / 2 (L-0.35)
L = 4.0 m
Let's calculate
F = 22 9.8 2 / 3.65
F = 118.14 N