A spherical bearing for releasably immobilizing an attachment to a shaft or other external object is provided. The spherical bearing comprises a truncated flexible spherical core with an annular hole through the center of the spherical core for appending the core on the shaft or external object. Segments around the spherical core are created by relief cuts in the spherical core, and deflection flexure points displaced from the annular hole are formed by the relief cuts in the core. A housing provides compression against the core and immobilization of the shaft or other external object.