Does anyone know what episode this is from?

[cjs1983]

A co-worker and I came across this animated gif and would really like to know the context of this. Does anyone know what episode this is from and what they were doing? Thanks!

http://senorgif.memebase.com/2011/08/30/funny-gifs-quite-charming/

 

[CorporalCaptain]

I, Mudd.

 

[Orac]

The episode is I Mudd. They're being held captive by androids so are behaving illogically in order to cause the androids to malfunction.

 

[cjs1983]

Thanks!

 

[RandyS]

I think I've found my new avatar.