Connecting two objects with another object

Hello,

First off, I apologize for an unclear title - I didn't really know how to describe the problem.

This is the kind of object I wish to make:

In the above picture, there are three circular objects that are "connected" by a line. The circular objects will receive force in a random direction. The lines connecting the objects will stretch, retract, and re-position itself as the objects get pushed around.

I would do this with a LineRenderer, but the lines need to have colliders. Also, I was considering using a plane object, but to do this, I would have to come up with a function that stretches, rotates and re-positions the plane based on two connecting objects' location. I think can do this, but I also have a feeling that this is not the optimal way of doing this.

My question is this: is the above mentioned method the only way to achieve this, or is there a much cleaner method of doing something like this?

Thanks!