You need to clarify what you mean by "static" or "dynamic." However, I'll take a guess at what you mean and try to answer you.
1. A static website could be a website that does not change its text or navigation content. One way to tell if this is the case is to look at the URL extension on your browser. If the site says "something.com/this-is-a-file/this-is-a-page.html" then it is likely static, because html doesn't change its content except through JavaScript when you interact with it, if there is any script in it.
That is not 100% way to tell however, because php (with the help of the fwrite function) can generate html pages if it was programmed to. Also, a common practice for SEO or vanity reasons is URL re-writing, which usually rewrites the URL in the code to cut off the page file extension, like this: "something.com/this-is-a-file/this-is-a-page" instead of "something.com/this-is-a-file/this-is-a-page.html"
More websites today are dynamic or becoming dynamic. Dynamic websites might have a URL extension ending in ".php" or ".asp" which means that the page you're viewing was generated by the server through server-side code instead of client side code.
2. The comments. If you right click any website, you'll see a button that says "view source" and you should click it. If there is anything dynamic, good programmers will comment where their php code is during development and sometimes they leave it there when the site goes live too.
3. In the same "view source" you might find tags that say "<script>var x = "a_variable";</script>" which is JavaScript code. JavaScript code will tell you that there are dynamic elements going on in between those tags. Sometimes they call other parts of the website to change when an event happens such as a mouse-click or even a hand gesture infront of your webcam.
You probably wanted to know about websites that can change dynamically, so that's my answer.
4. Sometimes dynamic can mean rotating IP addresses. Your website likely doesn't do that, however, and is usually static on hostgator, for instance, and your IP doesn't normally change there I don't think.