The present invention provides a small, cylindrical hinge, or pivoting pin, which can be configured to produce various profiles of torque versus angle. The desired profile of torque versus angle is achieved by the shapes of the hinge shaft and the spring plates of the hinge. Detents at one or more angular positions can be achieved, with or without frictional damping torque at other angles. The friction of our hinge is produced symmetrically about the hinge axis, eliminating the problems associated with asymmetric construction.