Question about pulley with relative motion

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SUMMARY

The discussion centers on calculating the acceleration of a 9N block relative to a small pulley in a pulley system. The correct acceleration is determined to be g/4, with the overall acceleration of the system calculated as 3g/4 m/s². The difference in tension between the strings supporting the 3N and 9N particles is attributed to the rotational inertia of the small pulley, which affects the motion dynamics of the blocks.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with rotational dynamics and inertia
  • Basic knowledge of pulley systems
  • Concept of tension in strings
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  • Study the principles of rotational inertia in pulley systems
  • Learn how to apply Newton's laws to multi-body systems
  • Explore the effects of tension differences in connected objects
  • Investigate advanced problems involving multiple pulleys and forces
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Physics students, mechanical engineers, and anyone studying dynamics and motion in pulley systems will benefit from this discussion.

pcpssam
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for part(i) the answer is g/4 + g/2 = 3g/4 ms^-2
how to calculate the acceleration of the 9N blcok relative to the small pulley to be g/4??
Did I miss something?
thank you so much!o:)
 
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pcpssam said:
[IMG ]http://upload.lsforum.net/users/public/v48021i223.png[/PLAIN]

for part(i) the answer is g/4 + g/2 = 3g/4 ms^-2
how to calculate the acceleration of the 9N block relative to the small pulley to be g/4??
Did I miss something?
thank you so much!o:)
The small pulley has rotational inertia. Therefore, the tension on the string supporting the 3N particle is different than tension on the string supporting the 9N particle.
 

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