Thanks, the diff amp kindly sent by Zero999 is interesting because the common mode voltage is 2v.
However , with different values, both the opamp inputs could be outside the common mode input range of the opamp, but VCM could be within the common mode range, but it would still be a violation of common mode input range....even though VCM was within the opamp's input common mode range.
IMHO I suspect that the true meaning of "common mode" is w.r.t the common mode gain of an opamp, (ie, a single input voltage being "common" to both inputs) and it being the opposite of the diff mode gain.
IMHO i suspect that all other uses of "common mode" are a bit kind of "contrived" from this true meaning, and are not really useful uses of the term "common mode", its just that we dont have any more exact jargon.
As we know "common" is an old timers term in electronics....if you "common" some things, you "connect them together".
Its like grounds are connected together...."common" also having once been a common term for "ground"...a voltage that is "common" to all components/systems.