Broken Double Pulley
This looks like the pulley on a channel balance. I'm afraid you cannot replace or repair this in any way. The inner workings of a channel balance, like the pulley and rope system and the spring, are very precisely calibrated for the purpose of moderating the operation of your sash. These can only be installed at the manufacturing plant where they were made. If any of these components have broken, you need an all new balance.
We can help, but we will need to see some pictures of the balance itself. I'd like to see the top and bottom of the metal channel (especially any nylon attachments installed there, if any), and a picture of the stamp printed on it. From there, we can work on what you need as a replacement.