Query re. F5 load balancing tomcat (jsp monitoring)

First and foremost, changing the application base URL in Tomcat is a Tomcat configuration, and dependent on your environment. I'd Google around to see what method works best for you, if that's indeed what you want to do. In lieu of that, I'd perhaps suggest that the URIs used in monitors are not exposed to the client. So using /appname/monitor.jsp in a standard HTTP monitor, or scripted monitor, would reveal absolutely nothing to the user, and would not in any way affect the functionality of the application.