Okay,I am having a little problem in understanding the effect of latitude/rotation of Earth on g.
In this figure, the test mass,m at place P experiences Centrifugal Force, Fcf acting outwards.
As we can see, the force,Fc=mrω2 has 2 rectangular components:-
a. Fcf = mrω2cosλ: Opposite to Weight, W=mg
b. Fcf = mrω2sinλ: Normal to Weight, W=mg
Now, my First doubt:-
Individually, what is the role of both the components, especially the second one, Fcf = mrω2sinλ?
Second doubt(Important One):-
In Observer Frame of Reference, the figure and derivation is completely true because Centrifugal Force(Pseudo Force) only exists in observer's point of view.
Now for an observer outside Earth, this will not be the case because for that person, Centrifugal Force is not existing but the particle at point P will experience Centripetal Force.
So how will we conclude the same/similar results(as given in the image) without introducing Centrifugal Force(which is a Fictitious Force) but to consider Centripetal Force(which is a Real One) in this scenario? Please give the figure for this case.