Built specifically to easily remove broken 3.5mm headphone plugs from jacks.
The cylindrical shape allows the tool to be inserted in between the jack housing and the broken piece, physically isolating the piece from any friction against the jack walls. At the same time the split in the cylinder allows for manufacturing differences and also act as a kind of cylindrical pliers to grip the broken piece.
This tool is designed for repair professionals, and will pay for itself with the repair of a single device. With careful use it can survive to repair many devices. Be sure to do research into proper use techniques before using.