I have the following question based on a paragraph from my Physics textbook (I am translating, so the result might not be the most elegant):
It states that due to the centripetal force resulting from Planet Earth's movement, the Normal force becomes slanted away from a purely vertical line towards the centre of Planet Earth. This way the resultant force between gravity and the normal force gives us the centripetal force. It adds that this way Earth's rotation not only reduces weight and falling acceleration but also diverts them away from the vertical direction.
I am confused: First of all, on the previous page it stated that N = GmM/R^2-ma, with ma referring to the centripetal force. From this equation I had understood that the Normal Force is simply less around the equator, which was confirmed by several online sources who compare it to the reduced Normal Force in an elevator on its way down. So why would it become slanted?
Beyond that, I am lost as to the diversion of the direction of free fall…
Can somebody clear things up?