I am trying to figure out if I am right about this(picture at the bottom):
Let's say we have mass M hanging from a string above the surface of the earth, creating θ degrees between it and the north pole.
The way I see it, all forces applied are : The gravitational force towards the center of the earth which has a component acting as the centripetal force towards where the axis of rotation of the earth passing at that latitude (Mgsinθ).
Then we have the suspension force T (please correct me if this is not the way it's called in English) which has a component that together with the centrifugal fictitious force balance out the centrifugal force. The other component of T balances out (Mgcosθ).