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... in the second case N also has a component
which is the reaction to the CENTRIFUGAL force. Is this an
acceptable interpretation?
Now you're going to make me into that which I fear most -- the language
police. I'd not consider CENTRIFUGAL a worthwhile term to use except
as an example of less complete reasoning to move away from. Trying
to use CENTRIFUGAL forces in FBDs can lead you astray immediately unless
you develop sophisticated rules for frames of reference, in which case
you are violating N1. These rules are also more complex (the phrase
cognitive overhead comes to mind here) than simply doing the analysis in a
dynamic (accelerating) frame of reference.