놓다(noh-da, nohda)
Focuses on the action of placing an object at a specific location.
When to use
Physically putting down an object, Temporarily placing something, Emphasizing the action
The nuance
놓다 indicates the act of physically moving and placing an object; the action’s start and finish are clear.
두다(du-da, duda)
Emphasizes the state of an object staying in a place or habitual placement.
When to use
Object remains in place, Habitual placement, Emphasizing state or result
The nuance
두다 is used when emphasizing that the object remains placed or is habitually put somewhere; focus is on the state rather than the action.