How Does a Black Box Simplify Calculating Rope Tension in Pulley Systems?

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SUMMARY

The discussion centers on the simplification of calculating rope tension in pulley systems by using a black box approach. When the system is in equilibrium, the tension in the rope equals the weight of the entire system enclosed within the black box. If the system accelerates upward, the tension exceeds the weight. This method streamlines problem-solving, as illustrated by a participant who initially overcomplicated the solution before adopting the black box concept.

PREREQUISITES
  • Understanding of basic physics principles, particularly tension and equilibrium.
  • Familiarity with pulley systems and their mechanics.
  • Knowledge of Newton's laws of motion.
  • Ability to visualize systems using black box modeling techniques.
NEXT STEPS
  • Research the principles of tension in static and dynamic systems.
  • Explore advanced pulley system configurations and their implications on tension calculations.
  • Study black box modeling in engineering and physics for system simplification.
  • Learn about Newton's laws of motion and their applications in real-world scenarios.
USEFUL FOR

This discussion is beneficial for physics students, engineering professionals, and educators seeking to simplify complex mechanical problems involving tension in pulley systems.

arcnets
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With amazement, I noticed the 'pulley question' thread with (so far) 42 replies.
Put a black box around the whole system (plate, pulley, man): You get a black box hanging from a rope. Now what is the tension in the rope?
 
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Originally posted by arcnets
With amazement, I noticed the 'pulley question' thread with (so far) 42 replies.
Put a black box around the whole system (plate, pulley, man): You get a black box hanging from a rope. Now what is the tension in the rope?
Yes, apparently we still haven't exhausted that topic.

If the system is in equilibrium, then the tension must equal the weight of the system. To accelerate upward, the tension must be greater than the weight.
 
Yes.
BTW - I was not laughing at the discussers. I was laughing because I had to solve a similar problem some time ago - and came up with a very complicated (and wrong) answer. Then, a guy several years my junior, said "Why not put a black box around this...". He had solved it all nice and simple.
 

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