Conical Pendulum | Physics Motion Laws

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SUMMARY

The discussion focuses on the conditions necessary for a conical pendulum to operate, specifically addressing the inequalities that must be satisfied for motion to occur. Participants emphasize the importance of understanding the relationship between the forces acting on the pendulum and the resulting motion. By assuming the opposite of the required inequality and analyzing the resulting contradictions, users can clarify the conditions for stable motion in a conical pendulum system.

PREREQUISITES
  • Understanding of conical pendulum mechanics
  • Familiarity with Newton's laws of motion
  • Basic knowledge of trigonometric functions
  • Ability to analyze inequalities in physics equations
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  • Study the derivation of forces in a conical pendulum system
  • Learn about the application of Newton's laws to circular motion
  • Explore the role of tension and gravity in pendulum motion
  • Investigate examples of inequalities in physics and their implications
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Students of physics, educators teaching mechanics, and anyone interested in understanding the dynamics of pendulum motion and its mathematical foundations.

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I can do the first part, however am unsure of how to deduce the motion cannot take place unless the inequality is satisfied. Can someone please explain this part?

Thanks
 
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Assume the opposite inequality holds, and plug it into the equality you got (giving you an inequality) and see if a contradiction pops up
 
ahh yes, i see, thank you!
 

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