How to Deploy a mobile web app ( html5+jQuery Mobile) on My Own PC in a Local Area Network

I'm new to mobile web app development. I'm trying to complete a test project in my office, and come to ask how to start.

There is a Local Area Network(LAN) in our office. In this project, I want to build a mobile web app using html5+jQuery Mobile for all my colleagues in the offices. My question is:

(1) How can I deploy it on my own PC, and use my own PC as a backend server?

(2) How can other people simply open this web app on their mobile phones or computers by just typing some URL (related to the IP address of my PC in the LAN) into their browser? Of course, their devices are also in this LAN as my PC, namely the server.

This is just a prototype project for a demon in the office. So it is only required to work in such a small range. And most of the communication will be finished by HTTP. Is there any method or framework to handle this work?

Much appreciation!