Assuming that you have full privileges with the Tomcat installation, try going to http://localhost:8080/manager/html/, if you don’t know the password to get into that area, look for the tomcat-users.xml file in your ${tomcat-installation}/conf directory, and that should have it. If it has no entries in it then you will want to add an entry like the following to it:
<user username="username" password="password" roles="admin,manager" />
See whether your application shows up in that screen, and if it does, click on the link and see if that gets you anywhere. If it doesn’t, then I suggest following ifishers’s advice, and looking at the log files to see if it lists any errors.
But long story short, most likely something is screwed up with your project’s web.xml