A mechanism for closing a hinged member comprising a resilient element (8 or 51) for effecting closure of the hinged member and a hydraulic rotation damper for damping the closing movement of said hinged member, which damper comprises: - a closed cylinder cavity which has a longitudinal axis and which is defined by a substantially cup-shaped cylinder barrel; - a rotational damper shaft which extends through an opening at a top of the cylinder barrel into the cylinder cavity and which is rotatable with respect to said cylinder barrel substantially around said longitudinal axis; - a piston, placed within said cylinder so as to divide the cylinder cavity into a first side above the piston and a second side below the piston, and said piston comprising: - at least one helical thread in engagement with a corresponding thread on either the cylinder barrel or the damper shaft, and - a rotation-preventing member in engagement with a guide on the other one of said damper shaft or cylinder barrel, so that a rotational motion of the shaft with respect to the cylinder barrel results in a translational motion of the piston along said longitudinal axis; - a one-way valve allowing fluid flow from said first side to said second side of the cylinder cavity when opening the hinged member; characterised in that it further comprises: - a fluid passage between said first and second sides (20a,20b) of the cylinder cavity, with a flow restrictor, in particular in the form of a needle valve, adjustable through an orifice in the cylinder barrel, wherein said second side of the cylinder cavity and said orifice are at opposite sides of the flow restrictor. - a closed cylinder cavity which has a longitudinal axis and which is defined by a substantially cup-shaped cylinder barrel; - a rotational damper shaft which extends through an opening at a top of the cylinder barrel into the cylinder cavity and which is rotatable with respect to said cylinder barrel substantially around said longitudinal axis; - a piston, placed within said cylinder so as to divide the cylinder cavity into a first side above the piston and a second side below the piston, and said piston comprising: - at least one helical thread in engagement with a corresponding thread on either the cylinder barrel or the damper shaft, and - a rotation-preventing member in engagement with a guide on the other one of said damper shaft or cylinder barrel, so that a rotational motion of the shaft with respect to the cylinder barrel results in a translational motion of the piston along said longitudinal axis; - at least one helical thread in engagement with a corresponding thread on either the cylinder barrel or the damper shaft, and - a rotation-preventing member in engagement with a guide on the other one of said damper shaft or cylinder barrel, so that a rotational motion of the shaft with respect to the cylinder barrel results in a translational motion of the piston along said longitudinal axis; - a one-way valve allowing fluid flow from said first side to said second side of the cylinder cavity when opening the hinged member; - a fluid passage between said first and second sides (20a,20b) of the cylinder cavity, with a flow restrictor, in particular in the form of a needle valve, adjustable through an orifice in the cylinder barrel, wherein said second side of the cylinder cavity and said orifice are at opposite sides of the flow restrictor.