قَامَ عُمَرُ وَعُمَرٌ آخَرُ
قَامَ: past verb. First عُمَرُ: nominative subject, diptote; no tanwīn. وَ: conjunction.
Second عُمَرٌ: nominative coordinated noun with tanwīn. آخَرُ: nominative diptote adjective. Both nouns are nominative; the change is in their declensional treatment.