A method for cutting a moving source material including: rotating a cutting cylinder including a blade; positioning a structural member in spaced relation from the cutting cylinder, wherein the space between the cutting cylinder and the structural member receives the source material; and positioning an anvil in the space. The anvil engages the source material when it is displaced between the cutting cylinder and the structural member. The method also includes: directing the blade into contact with the source material, whereupon the source material is pressed against the anvil and is severed by the blade, and the anvil is displaced by the cutting blade from a first retracted position to a second activated position; and applying an increasing biasing force to the moving anvil as it is displaced toward the second activated position so as to direct the anvil back to its first retracted position.