A line tensioning system for regulating tension on a line having a proximal end and a distal end, where the proximal end is operatively connected to a drum. The line tensioning system comprises a frame, a first and second sets of rollers, and first and second sets of displacement assemblies. The frame defines first and second side edges. Each first and second displacement assembly is arranged to displace at least one of the first and second rollers relative to the first and second side edges of the frame, respectively. The line is arranged such that the line contacts the first and second rollers. The first and second displacement assemblies displace the first and second rollers relative to the first and second edges based on a tension on the line.
