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## Homework Statement

A ball is rolling along a frictionless hemisphere with radius R. The question asks about when will the ball rolls off the hemisphere. I understand that this happens when the normal force vanishes. But I am also wondering what if the normal force provided by the hemisphere balance off the component of weight of the ball along it s.t. the centripetal force is zero. Will the ball rolls off the hemisphere too?[/B]

## Homework Equations

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## The Attempt at a Solution

**I think at that moment, the net force acting on the ball will be solely the tangential component of weight acting on the ball so the ball would roll off the hemisphere too? This really confuses me. Or this situation actually never happens? Thanks you!**[/B]