na-adjective
Describes a heavy, tired, or lethargic feeling, often with a poetic or literary nuance. Can refer to both physical and emotional weariness.
彼女は物憂げにため息をついた。
She sighed languorously.
暑さで物憂げな一日を過ごした。
I spent a listless day because of the heat.
na-adjective
somber; gloomy; despondent
Describes a subdued, melancholic, or downcast mood. Often used for facial expressions or atmosphere.
彼は物憂げな顔で窓の外を見ていた。
He was looking out the window with a somber expression.
雨の日の午後はどこか物憂げだ。
Rainy afternoons feel somewhat gloomy.
憂鬱 is a heavier, more clinical term for depression or gloom, while 物憂げ is a lighter, more poetic description of a weary or somber mood.
だるい is a casual, physical feeling of sluggishness or fatigue, whereas 物憂げ carries a more emotional, literary nuance.
Compound of 物 (mono, 'thing') + 憂げ (uge, 'sad-looking'), the stem of 憂い (ui, 'sad') + げ (ge, '-looking'). The reading ものうげ is a standard rendaku form.