Solve Step Pulley System Homework: Acceleration Relation

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SUMMARY

The discussion centers on the acceleration relationship in a step pulley system, specifically addressing a homework problem. The user initially proposed that the ratio of accelerations between two blocks is 1:2 based on the tension ratios. However, the correct relationship is established as 1:4, indicating a misunderstanding of the mechanics involved in pulley systems. This highlights the importance of accurately applying Newton's laws and the principles of tension in pulley systems.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with pulley systems and their mechanics
  • Knowledge of tension in strings and its relation to acceleration
  • Basic algebra for solving ratio problems
NEXT STEPS
  • Study the principles of acceleration in pulley systems
  • Learn about the derivation of tension ratios in mechanical systems
  • Explore Newton's second law applications in multi-body systems
  • Review examples of step pulley systems in physics textbooks
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Students studying physics, particularly those focusing on mechanics, as well as educators looking for examples of pulley systems and their acceleration relationships.

RaikkoBoy7
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Homework Statement


A step Pulley system is shown in the figure.The string and Pulley are of Negligible Mass.The relation Between the acceleration of Block and Block will be what then ?I am having troubles in approaching this question!


Homework Equations





The Attempt at a Solution

 

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What did you try?
 
Ratio of their tension 1:2 and Ratio of tension=ratio of acceleration=1:2
But the answer is 1:4
 

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