First slide
Universal law of gravitation
Question

 An extremely small and dense neutron star of mass M, and radius. R is rotating at an angular frequency ω. If an object is placed at its equator, it will remain stuck to it due to gravity if

Easy
Solution

Fg=GmMR2
Centifugal force on object Fc=mRω2
The object will remain stuck to the star and not fly off if
Fg>FC
or GmMR2>mRω2  or  M>R3ω2G

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