Creating a Pendulum Arc

I want to create a web swinging system similar to this game:

I have already made a web swinging system. It uses rope constraints and body movers to move the player. But it is hard to control. I think creating a pendulum arc that the player moves through would be better.

Here are 2 examples of how I would want the arc to form;
Example 1:


Example 2:

How would I archive this??

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Never made a web sling mechanic before, but maybe you could try something like this approach. Basically you simulate a path on a 3d sphere, where the center point is the building and the blue line is the web being swung, then position your character on the paths line like the image below