There have been hacks for this using pepper flash, but Adobe does not support Linux flash! I would use HTML5 for you tube videos.
A substitute for adobe. Try:
sudo apt-get install gnash
sudo apt-get install browser-plugin-gnash
One comment about Gnash:
So what is gnash? Well, this is what the Debian repository description says:
GNU Gnash is a free GPL’d SWF player. It runs as a standalone application on either the desktop or embedded devices, or may be used as a plugin for several popular browsers. It supports playing media from a disk or streaming over a network connection.
GNU Gnash is based on GameSWF and supports most SWF v7 features and some SWF v8 and v9. SWF v10 is not supported by GNU Gnash.
Included in the Gnash is an XML based messaging system, as specified in the SWF specification. This lets a SWF animation communicate over a TCP/IP socket, and parse the incoming XML message. This lets an animation be a remote control for other devices or applications.
As there is an ARM package of Gnash, it installs fine on Debian for the Raspberry Pi.
Nice one. ill try it to my Raspi model B
Raspi B model is not the perfect tool for youtube streaming but the installation works fine.
When i tried sudo apt-get install browser-plugin-gnash there was an error and the solution was a simple sudo apt-get update.