Centripetal Motion Homework: Mass of String/Spring Effect

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SUMMARY

The discussion focuses on the effects of considering the mass of a string or spring in centripetal motion problems. It concludes that including the mass alters the dynamics of the system, specifically lowering the height of the circular path, similar to a conical pendulum. The analogy of a heavy rod replacing the string illustrates that for the same energy input, the system would revolve at a lower height due to the additional weight. This insight is crucial for accurately modeling centripetal motion scenarios.

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  • Centripetal motion principles
  • Understanding of conical pendulums
  • Basic physics of rotational dynamics
  • Equations of motion for circular paths
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Students studying physics, particularly those focusing on mechanics and centripetal motion, as well as educators looking for examples of rotational dynamics in real-world applications.

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Homework Statement


When solving problems involving centripetal motion, say rotating a string/spring with an object attached to it, without taking into account of the mass of the string/spring. What effect would it have if we DID take it into account?


Homework Equations





The Attempt at a Solution


If we were to twirl the mass in a horizontal circle, I would think that the weight of the string/spring would lower the height of the circular path, like a conical pendulum - affecting the radius of its path. Am I going in the right direction .. ?
 
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That's right. Think of a very heavy rod replacing the string. For the same energy, it would revolve at a lower height.
 

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