Since,F=(GMm)÷r^2............(1)
And,F=Mg.........(2)
Comparing 1 and 2 we get.....
g=(Gm)÷r^2....[since mass is constant and it will remain same in both the cases of pole and equator]
Therefore we get g is inversely proportional to r.
As earth is flattende from top and wider at centre
Therefore radius of pole is smaller than at centre(equator)
Hence g is more at poles as weight =mg where m is constant.