How can I create a horizontal sliding drawer like the YouTube and Facebook app has.

Many other apps seem to use use the same style, so I’m guessing that this is a part of the default Androind UI framework but I can’t seem to piece it together.
You can see some more samples here.
Thanks.
This is a sliding menu, you can implement this by writing a custom view. There are a lot of good open source examples. I would recommend you to use this one.
You can use it by defining this in your Layout:
Edit:
The Android team introduced an official sliding pattern on Google IO 2013. Read everything about it here.