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.
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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