There's several good youtube stacks around... here's a simple way of doing it.
Looks fine both in Safari, Firefox and Explorer on Windowze.
On iOS the minimized (27px height) window shows top of the movie, not bottom and the youtube control panel.
<iframe width="820" height="27" src="http://www.youtube.com/embed/vjncyiuwwXQ" frameborder="0" allowfullscreen></iframe]
You can see an example here... scroll to bottom of the page (extra content area):
http://www.iloveodense.dk/calendar