Abstract: Apparatus, method, and a kit for a yieldable tendon mine support rock anchor include structure and/or steps including the provision of a metal support member having an outside diameter which is less than a diameter of the rock hole. Preferably, resin cartridges are disposed inside the rock hole. A wedge anchor is provided and is disposed at a distal end of the metal support member and has a narrow portion disposed uphole from a wider base portion thereof. The wedge anchor base portion is narrower than the diameter of the rock hole to permit un-solidified resin to pass from downhole to uphole of the wedge anchor base portion. The wedge anchor is dimensioned to crush solidified uphole resin and permit downhole movement of the crushed solidified resin when a yielding tension is applied to the metal support member and the wedge anchor moves uphole.