Help with Torque Requirements for a Balanced Weight

[Deku]

Application:

This project is to create a remote operated airsoft turret for use in local airsoft matches. What I am trying to understand is servo placement and torque requirements. The board in the examples is to represent an airsoft gun. I want to use a servo to control upward and downward tilt and another to control pan right and left. My concern here is to solve for the tilt. If I perfectly balance the board (airsoft gun) how does that affect the torque requirements? In Figure 1 I believe there is none because of equilibrium. So how do I calculate what is needed for roughly 45 degrees of tilt up or down as shown in figure 2? Is it still at equilibrium? Or is there an equation that factors in angle?

[Deku]

Additional information regarding this post:
Board weight (airsoft gun) = 3700g or 8.15lbs
Length = 930mm

I have built a version of this before but the airsoft gun used was light enough that a standard high torque servo was enough to handle it without any calculation. This time the airsoft gun is fairly heavy so I need to to figure out the specifics before ordering parts. FYI we use these to simulate a “perk” like in many games that you can win to use against the opposite team. When active it lasts for 15 min and can be “destroyed” (deactivated) when its target is hit. Thanks for any advise you can provide!