A self-latching hinge for rotatably coupling a first member to a second member is provided. The hinge comprises a hinge housing connected to one of the first and second members. A shaft is rotatably disposed in the hinge housing, with the shaft being connected to the other of the first and second members. A cam is located on the shaft. A rotatable roller is located in the housing adjacent to the cam such that as the shaft is rotated, the cam contacts and rotates the roller. Contact between the roller and the cam at a specified angle of rotation causes interference between the roller and the cam to create an increased latching torque which must be overcome for movement of the shaft. A portable computer is also provided having a self-latching hinge located between the display housing and the processor housing.