Test Question - Pulleys and Rubberbands

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SUMMARY

The discussion centers on a physics problem involving two identical rubber bands connecting masses A and B over a frictionless pulley. It concludes that if the rubber bands are identical, they will stretch equally under the same force, as described by Hooke's Law (F=kx). The importance of analyzing the free body diagram for each mass and understanding the system's equilibrium is emphasized. The relationship between the tension in the rubber bands and the tension in the string is also a critical aspect of the problem.

PREREQUISITES
  • Understanding of Hooke's Law (F=kx)
  • Knowledge of free body diagrams in physics
  • Concept of equilibrium in mechanical systems
  • Familiarity with frictionless pulley systems
NEXT STEPS
  • Study the principles of Hooke's Law in greater detail
  • Learn how to draw and analyze free body diagrams
  • Research the conditions for equilibrium in mechanical systems
  • Explore the mechanics of frictionless pulley systems
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of tension and equilibrium in mechanical systems.

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I missed this question on the test and I don't get it...

I attached a scanned image of the question. If you can't make out the text it reads:

Two identical rubber bands connect masses A and B to a string over a frictionless pulley of negligible mass. The amount of stretch is greater in the band that connects to:
A
B
Both the same
 

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If the two rubber bands are identical, they must stretch the same amount for the same amount of force acting on them. If you have studied springs, that's a good way to look at the way the bands work. (F=kx, same k)
The next part to understanding this problem is considering how the free body diagram would look for each weight, specifically the tension on the bands. Note that the system is at equilibrium and consider the implications of that.
 
There's no reason to think that the system is in equilibrium. (Are the masses equal?)

Hint: How does the tension in the rubber bands relate to the tension in the string?
 

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