How to take a DAT cassette apart

Do any of you knowledgeable people know how to deal with a DAT cassette that has a loop of tape hanging out of it--this happened when I ejected it. Those cassettes, and how they are driven by the DAT recorder/player mystify me. Unlike the older audio cassettes, the toothed wheels, while visible through clear plastic, aren't accessible from outside the cassette--if this changes once the tape is in and being played, I don't see how.

If I could get into the cassette itself I could probably get rid of the loop--but I don't see how to do this either.

Many thanks in advance for any expert help anyone can offer.

Tom Patton