Hmm, I don't want to sound boring but.....
I'm not questioning Mr Bernoulli, I know he's right, I'm just trying to clarify what he's actually saying.
Think you're getting mixed up with a 'Vertical force' and lift. A wing on a Pitts in a vertical dive is generating lift, which acts in a horizontal direction (unless the pilot puts the nose a few degrees beyond vertical to reduce AoA to zero), a glider pulling out of a dive generates Lift (in excess of the weight). A glider climbing in a thermal generates lift in excess of weight due to increase in AoA due to change in reletive airflow over the wing. A rocket doesn't rely on Bernoulli's principles but Newtons 3rd laws of motion, in that "every action has an equal and opposite reaction", so strickly speaking doesn't generate any lift at all, but pumps gas out of its arse at high speed which send the rocket up and away.
CL is proportional to AoA, and as Mr B pointed out, Lift is directly proportional to CL. Therefore, when CL is at max (when AoA is max) then Lift will be at max. The only way to increase lift now is to increase airspeed (may not be possible) or density (impossible).
Therefore
LIFT will be greatest when CL is at max and hence when AoA is at max.
"Combined vertical acting force" will be greatest when the aircraft is climbing at the fastest rate of climb that it can. In normal opertations this would be best rate of climb speed (and hence BROC AoA...probably not far from max).
Cheers
EA
