Ditto Sean. This is why some (esp. older) integrateds/pre's have a "low freq filter" or something similar (they all are hi-pass filters attenuating the signal from ~ 20 Hz and below). If you're sure your cartridge is OK, maybe your rig has this feature - use it. If not, you may want to add such a filter, although its proper implementation is yet another entire story.
Woofer pumping - what gives?
Some years ago I noticed that regardless of the speakers, cartridge or preamp in the circuit my woofers pump wildly out of control the more I advance the volume while playing an LP. They don't seem to be responding to the musical signal but something else. The sound is fine. My humble rig is a Dual 1219 with a NOS Shure M91ED cartridge. Tapes made from the same LP's do not exhibit this odd behavior. Who knows why woofers look like they're going nuts while playing an LP?