Open editor for Tomcat Server (double click Tomcat node in Servers view). The editor has two tabs - Overview and Modules. In Modules tab, it is possible to select a registered web project and call dialog for changing path (context root) property by Edit button. Then, for example, if project's name is MyProject but path is set to /OurProject, in order to access the application running on Tomcat server one has to type in browser an address like http://localhost:8080/OurProject rather than http://localhost:8080/MyProject.
Red Hat studio defines menu action 'Register Web Context in Server', which invokes dialog that allows to set context root property. That works fine with Tomcat server, but fails with JBoss AS, because it seems that its implementation ignores this property of web project when deploying it. Hence, the request is to develop this functionality of JBoss AS to the level of Tomcat server.
Context root property is accessible through class org.eclipse.wst.common.componentcore.internal.util.ComponentUtilities with methods
public static void setServerContextRoot(IProject project, String contextRoot)
public static String getServerContextRoot(IProject project)