Question about pulley with relative motion

AI Thread Summary
The discussion focuses on calculating the acceleration of a 9N block relative to a small pulley, with the initial answer provided as 3g/4 m/s². It highlights the importance of considering the small pulley's rotational inertia, which affects the tension in the strings supporting the different weights. The tension on the string for the 3N particle differs from that for the 9N particle due to this rotational effect. The query seeks clarification on how to derive the acceleration of the 9N block as g/4. Understanding these dynamics is crucial for accurate calculations in pulley systems.
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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