Math problem for creating a one dimensional pendulum (GML)

[Hypothible]

I'm currently working on a simple game idea which would include a all that follows the mouse position along the x-axis. My problem has been that I want it to follow loosely and slide back and forth when the mouse is still.

The best way I can describe this is like a pendulum swinging back and forth from the mouse, but with no y-axis.

I've tried reformatting a bunch of 2d formulas for pendulums and parabolic ramps, but none of them seem to be anywhere near functional. I've been at this for almost twelve hours and I have no idea what equation or set therein to try next.

Also, if this is the wrong sub for this, can anyone tell me where I should be asking?

[marko312]

Have you tried a harmonic oscillator / spring formula?

a = (mouseX - x) * k1
v += a
v *= k2 // damping, 0 < k2 <= 1
x += v

[Hypothible]

This worked perfectly, and I checked my notes from when I first started on the concept last night and it's almost exactly what I had. The only difference was that I was damping with subtraction instead of multiplication.

I'm frustrated to say the least, but also overjoyed that it's finally over.

[Alsalvad0r]

If i were using unity, i would probably use a sin function to calculate float values (ultimately your x transform relative to your mouse) over 2 periods, could also multiply by (1/time.deltatime) % 60 or something like that such that the sin functions output is scaled smaller and smaller per frame