An apparatus supports a convolutely wound log of web material during cutting of the convolutely wound log, and includes a bottom support link operatively pivotally coupled to a support frame and a side support link operatively pivotally coupled to the support frame and the bottom support link. A flexible member operatively coupled to a distal end of the side support link extends tangentially from the side support link and curves away from the side support link and the bottom support link so that a portion of the flexible member is spaced away from the side support link and the bottom support link. The spaced away portion of the flexible member together with the side support link and the bottom support link at least in part define a support surface for supporting the convolutely wound log when the log is directed into the apparatus.