One of the places these two words are commonly used is in email.
Please see the attached documents
Please review the attachments
Another is in children’s attachment to their parents or caregivers.
He is very attached to his mother, he can’t be away from her.
She has an attachment disorder and doesn’t bond properly.
The last one complicates the noun/adjective picture because it’s a noun used as a adjective. In general attachment is a noun and attached is an adjective.