As a noun rig
is (slang|nautical) the rigging of a sailing ship or other such craft or
rig can be (uk|scotland|dialect) a ridge or
rig can be (obsolete) a wanton; one given to unbecoming conduct.
As a verb rig
is to fit out with a harness or other equipment.
As a pronoun ours is
that which belongs to us; the possessive case of we, used without a following noun.