Question

why a body has no more weight at pole of earth ?

Answer 1

Because the Earth is rotating, objects at the equator are thrown out slightly. This means that objects at the pole actually weigh more than objects at the equator due to the fact that you are not experiencing significant centrifugal forces at the poles.

Also, due to the aforementioned centrifugal force due to spinning, Earth’ radius from the equator to the center is slightly more than Earth’s radius from the pole to the center. Since gravity decreases with distance, there is more gravity at the poles than the equator. However, this is a very insignificant increase, which is overshadowed by the decrease of gravity at the equator.

So, no. Objects at the poles of Earth weigh more than at any other point.