Let's say a plane is flying above a runway in straight line, and gust of wind hits the plane from side.
Do pilot need increase thrust to stay above runway and where is axis of rotation ?
It often said that all object rotate around c.g. does it mean that axis of rotation passes through plane c.g. or somewhere else?
My interest is from the view of an observer seeing this encounter standing under the plane - a view from a ground-based frame of reference.