• 羽はね — feather / wing
• 羽毛うもう — feathers / down
• 羽はばたく — to flap wings
• 羽音はおと — sound of wings
• 一羽いちわ — one (bird or rabbit)
• 羽根はね — feather / shuttlecock
• 羽目はめ — predicament / difficult situation
• 羽田空港はねだくうこう — Haneda Airport

羽 visually represents a pair of wings. It’s used for birds, flight, and symbols of freedom or lightness. Also appears as a counter and in poetic or spiritual contexts.