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

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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 is that the normal force can be greater than the gravitational force (mg) due to the influence of centripetal force. Participants emphasize the importance of analyzing vertical forces and applying Newton's Second Law to arrive at the correct conclusion. The correct answer is that the normal force may be greater than mg, depending on the specific conditions of the motion.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Knowledge of centripetal force concepts
  • Familiarity with forces acting on objects in circular motion
  • Ability to analyze free-body diagrams
NEXT STEPS
  • Study the application of Newton's Second Law in circular motion scenarios
  • Learn about centripetal acceleration and its effects on normal force
  • Explore free-body diagram techniques for analyzing forces
  • Investigate the dynamics of objects on inclined planes
USEFUL FOR

Physics students, educators, and anyone interested in understanding the dynamics of forces in circular motion and inclined planes.

trivk96
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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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