Section 5 in your service manual has illustrations that will be of help. It is easier on your body if you take the seats out and lie on a pad. Been there, done that and got the tee shirt.
On my 1976 Cessna 150M, My left rudder return spring is broke as well. I bought the new spring, part number 0310196-13. Got the end hooked on to the clip that is attached to the control cover, but cannot find where the other end attaches at.
The only place that looks plausible is the tab that comes up off the bar and has the cable attached to it. On the forward side of that piece is a tab that bends slightly toward the pilot side and has a hole in it. It just seems like that would be too far for the spring to be stretched with the rudder pedals are in a neutral position.
I have referenced the IPC - page 152 / Figure 61, and the 1969-1976 Service manual Section 10, figure 10-2, but both illustrations are facing from the forward pilot side and only really depict the right rudder return spring mechanism which is on the pilot side interior of the control cover. I am unable to find illustrations or drawings on the left spring on the co-pilot side.
So one end of the rudder return spring is connect to an upright tube off the rudder bar. That upright has is flattened top and has a hole thru it. The other end is secured with a clip and screw & nut on the pilot side of the center tunnel. I will be out at my plane today and can stick the borescope down in there and take a picture.
Thank you, Jason! From what you are describing, sounds like the below that I have is correct. Would love a photo if you are able to grab one, as I am curious how far that spring really stretches... I wrote the below before seeing your post.
Here is the picture where it is attached to the airframe. This is where the old, broken one was attached. The second picture is the back view of the 'post' or 'tab' that sticks up from the rudder bar and attaches to the rudder cable. The third picture is the front view. This is the only place I see that would make sense for the spring to attach to, but it just seems like that is too far for it to stretch when the pedals are neutral....
Well this explains why its broken. It goes inside the tunnel between the pilot and Co-pilot. You have to remove the cover on to top get to it.
See my edit of your picture the Orange arrow points to the tube that is connected to the rudder bar ( green arrow) the top of the tube the orange arrow is point at will be squished flat with a hole in it. The clip part is in side the tunnel on the pilot side.
Also take a look at this rudder bar for sale, see the tube welded on and mashed flat at the end of it. It’s next to the rudder control horn. Where your spring was connected. The correct place for the return spring is on that tube with the mashed end.