Robotic arm CFrame movement

I am looking to make a robotic arm that has 3 separate parts, something like this
image

I have read up on CFrames and CFrames math operations, but I’m confused as to how I would have 3 parts moving in conjunction with each other.
The arm I have in mind will extend outward, with each section extending simultaneously. I understand how to do this with one section (i.e. a door and a hinge), but I am confused how I would do this with a second rotation point, or a third.

explain in depth if you want the answer.

Yup, added some more detail. Let me know if I can provide anything else.

Let me get this straight you want a roblox arm with 3 joints that can point to a specific point correct?

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I’m just looking for pseudocode or even just a simple description of how the CFrames are going to be moving.

image
Updated post to include this picture.