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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?

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asked Oct 17 in Physics Problems by sammy gerbil (26,096 points)
edited Oct 18 by sammy gerbil
Thanks for sharing it.

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