Schedule a Video To Play Automatically At A Certain Time.

Is there a plugin that will allow me to automatically play a YouTube video on a page at a certain time?

I’d like to schedule a group watching section on my site and set a schedule for the video to automatically start playing so everyone is watching the same segment of the video.

Is there anything like this? I would like to have the page ready before hand and then just start playing at say 5:30PM on a certain day.