Can we write equations for strings in pulley systems?

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SUMMARY

Equations can be written for strings in pulley systems, whether the string is massless or has mass. For massless strings, tension remains constant, while for strings with mass, tension varies due to the string's weight. Newton's laws apply to both scenarios, allowing for the analysis of forces and accelerations in the system. A clear example of a pulley system is necessary to illustrate these principles effectively.

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  • Understanding of Newton's laws of motion
  • Familiarity with basic mechanics of pulley systems
  • Knowledge of tension in strings
  • Concept of massless versus massive objects in physics
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  • Study the mechanics of variable tension in strings
  • Learn about the dynamics of multi-pulley systems
  • Explore examples of real-world applications of pulley systems
  • Investigate the mathematical modeling of forces in pulley systems
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Students of physics, engineers designing mechanical systems, and anyone interested in the principles of force transmission in pulley systems.

Kartik.
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Ofcourse we can write the equations for blocks on a single fixed pulley taking the tension upwards and weight as downwards and then equating according to the acceleration. Can we write equations for the string (massless or with mass)?
 
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Equations for what, where?
I would expect that the answer is "yes", but the question is quite unclear (at least to me).
 
If someone can rig up a system of pullies, then we can write the equations for that system. Why don't you suggest an example?
 
Last edited:
If the string has mass, its tension will be variable (not constant), but you can still apply Newton's laws to it. If it has no mass, it just serves to transmit forces between objects with mass, at a constant tension. There cannot be any net force acting on it, although it would still accelerate along with the object it supports.
 

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