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The back end is connected, I don't know where the end facing the camera goes. The belt broke so I think it is related to this spring.The spring should connect in the small hole next to the square hole on the right side in this picture.
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Most likely the hole were the spring was connected will have a keyway wear area and be shiny.
THOSE PICS DON'T SHOW WHERE THE SPRING ATTACHES, USELESS.The spring should connect in the small hole next to the square hole on the right side in this picture.
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Parts lookup and repair parts diagrams for outdoor equipment like Toro mowers, Cub Cadet tractors, Husqvarna chainsaws, Echo trimmers, Briggs engines, etc.
Most likely the hole were the spring was connected will have a keyway wear area and be shiny.
If you would of blown the picture up you can see the hole that I described where the spring connected. Also it would of help if you could of verified the model number as requested in your original post , because the model number you listed is for a 2010 Troybilt with a 38 inch deck not the 2003 you claim it was with a 42 inch deck. https://www.lawnmowerforum.com/threads/troy-bilt-riding-mower-42.79335/ where Starlink also answered with the picture that you claim we didn't provide.