The Petrel began to tilt to one side at Imperial Dock in Leith just after 08:30.
The vessel is thought to have been dislodged after high winds with images showing the vessel leaning at a 45-degree angle.
The Scottish Ambulance Service said it had dispatched five ambulances, an air ambulance, three trauma teams and a special operations team.
The Scottish Ambulance Service said it had dispatched five ambulances, an air ambulance, three trauma teams and a special operations team.
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