A web of foam material is fed to a cutting station by upper and lower rollers drawing the web from a supply roll and along a low-friction table surface. A cutter station has a knife bar and blade, with a clamp bar coupled with the knife bar. The lower draw roller has its axle mounted in a pair of pivoted arms depressible by presser feet on a presser foot bar carried by the knife bar. When a desired length of web has been drawn past the cutter station, actuation of the knife bar lowers the blade toward a grooved anvil, while the presser feet swing the arms down to depress the lower roller away from the web to stop drawing it. Immediately after interrupting drawing action, the web is clamped by the clamp bar, and then immediately thereafter cutting occurs. The table has bridge-like fingers extending downstream through grooves in the movable lower feed roller. These fingers support the web when the lower roller is swung down. The cut sheets are conveyed through a static eliminator and then pass between staggered corrugation rolls for temporarily imparting longitudinal stiffness for enabling the temporarily corrugated sheet to be longitudinally projected through the air for dispensing into a desired position of utility, for example landing in the open top of a box packed with delicate items.