# Normal reaction for particle at rest on a sphere

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The answer is C.

It is not difficult to understand why force $F$ decreases as the small metal ball is raised to the top of the sphere. The normal reaction $R$ from the hemisphere bears a greater share of the weight of the metal ball.

But why is the normal reaction $R$ the same for all positions of the ball on the sphere? Is there an intuitive explanation?

See discussion in Problem Solving Strategies chatroom on Physics Stack Exchange.

asked Oct 17, 2018
edited May 16
Thanks for sharing it.