Load lifting systems include a load lifting structure configured with at least two attach points defining at least one axis between two attach points of the at least two attach points, a flexible suspension member suspended from the load lifting structure at the at least two attach points, and a carriage configured to have a load suspended therefrom having at least one guide element arranged along the at least one axis and configured to move relative to and along the suspension member along the at least one axis such that the carriage follows a curved path having a continuously varying radius of curvature based on the at least two attach points.