Many people use predictable rotations (incrementing number, date appended), so if you know one, you know them all.
Also if they've shared it once, why would they not share it again? Put another way: why is making them regularly reset their password going to make them suddenly follow security protocol, when it didn't the last n times they had to change their password?
If the office thinks it's okay to share their password it's also a symptom of several things:
* Lax security environment, with not enough emphasis on security training and importance.
* Poor senior management. There should be reprimands for violating security rules, as severe as losing your job for repeat offenders, and obviously IT can't do this on their own.
* Bad work environment provided by IT. Why are they sharing passwords to begin with? Maybe the environment is overly locked-down with too many restrictions, or maybe the collaboration tools are just bad or missing.
Fix those, the password sharing stops.