Finding the Normal Force of a block on an incline experiencing centripetal force

AI Thread Summary
The discussion centers on determining the normal force acting on a block sliding along a horizontal circular path inside a friction-free cone. The consensus leans towards the idea that the normal force may be greater than the gravitational force (mg) due to the influence of centripetal force. Participants suggest analyzing the forces in the vertical direction and applying Newton's second law to clarify the relationship between the normal force and mg. The conclusion emphasizes that the normal force is not constant and can vary depending on the dynamics of the motion. Thus, the normal force can indeed exceed mg in this scenario.
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Homework Statement


When the sliding along a horizontal circular path on the inside of a friction-free cone, the magnitude of the normal force (use the diagram)

1. is greater than mg, always.
2. is equal to mg.
3. may be greater than mg.
4. is less than mg, always.
5. may be less than mg.

Homework Equations


??

The Attempt at a Solution



I think it is 3 because with centripetal force, more force is being applied to the cone resulting in more force pushing back which means a greater normal force which may be more than mg. Is this correct??
 

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Hint: Analyze forces in the vertical direction and apply Newton's 2nd law.
 
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