1.) An object used to
carry things in, in most cases a liquid, typically made out of china(and
maybe in China). usually also has a grip, as its material it is made of suggests, it was invented in China, but also has been used in Japan at the same
time.
2.) (to) mug, means to (try to) injure and rob someone
Urban
dictionary: Get the mug mug
or
An unidentified suspect has turned a 64 year old man into a victim of a mugging somewhere in
Wales, but the man fought back and seemed to gesture "bring it on", the wanna be crook didn't stick around for
long and ran away.
(better see mugging for the second example)