Dear Fiske -
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That is correct statement about crosswind effect on Vmcg...
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A crosswind is considered in CAA (UK) certification, not with FAA (US) certification.
Thereby you might see more conservative minimum V1/Vmcg with British manuals for same aircraft.
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But a crosswind is one thing, a critical engine is one other...
You instructor gave you pertinent info.
Just the vocabulary of "critical engine", I believe, should not be used.
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Happy contrails
