How to calculated the required gas spring force?

In our last video, we introduced how to measure a gas spring, how to measure two lengths and two diameters. And normally, we can see the force on the surface of the gas spring. But we can also know the required gas spring force by calculation.

Next, let me introduce how to calculate the force.

As you can see in the picture,
P, means the center of gravity. G, means the gravity,normally, gravity equals weight multiplied by 9.8 (G=mg, g=9.81). L, means the distance between hinge and P. D, means the distance between hinge and the gas spring, and the gas spring is in an extended state. N, means the number of gas springs

Now let’s take an example.
If the weight is 20kg, L is 500mm, D is 300mm, there are 2 gas springs

Next, Let’s change the condition,
If the gravity is 400N, L is 400mm, D is 200mm, there is 1 gas spring, can you calculate the right gas spring force?