static content randomly 404s

Sometimes when I go to the /websites extension on one of my Azure websites I just get the html page with no images, css, or js loaded. Refreshing the page doesn't resolve it. When it happens I usually try multiple things like restarting my site, clearing browser cache, etc, and sometimes it will start working. Sometimes I just try again later and it works. I'm sure there's a pattern to when it happens and what resolves it but I haven't been able to find it.
The Chrome console shows the following:

GET https://myapp.scm.azurewebsites.net/Content/css/bootstrap.css         websitelogs:9
GET https://myapp.scm.azurewebsites.net/Content/js/bootstrap.js           websitelogs:49
GET https://myapp.scm.azurewebsites.net/Content/css/jquery.dataTables.css websitelogs:10 
GET https://myapp.scm.azurewebsites.net/Content/css/thatlog.css           websitelogs:11 
GET https://myapp.scm.azurewebsites.net/Content/js/jquery-1.10.1.min.js   websitelogs:48 
GET https://myapp.scm.azurewebsites.net/Content/js/jquery.dataTables.js   websitelogs:50 
GET https://myapp.scm.azurewebsites.net/Content/js/thatlogextension.js    websitelogs:52 
GET https://myapp.scm.azurewebsites.net/Content/js/moment.min.js          websitelogs:51 
Uncaught ReferenceError: $ is not defined                                 websitelogs:134 
GET https://myapp.scm.azurewebsites.net/Content/images/logbrowser.gif 404 (Not Found)

[amitapl]

Interesting, the urls here are actually wrong they are missing /websitelogs which causes the 404.
Not sure how it gets to that state though.
Are you using a Free / Shared or Dedicated site?

It's a free site. But I think I just figured it out. The problem occurs when I leave off the trailing slash.

This works:
https://myapp.scm.azurewebsites.net/websitelogs/

This doesn't:
https://myapp.scm.azurewebsites.net/websitelogs