in an atwood machine case when one of the block descends by a distance h over a pulley with a particular mass and moment of inertia does the tension force (which is different in the 2 parts of the string connecting the blocks) do any work??

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in an atwood machine case when one of the block descends by a distance h over a pulley with a particular mass and moment of inertia does the tension force (which is different in the 2 parts of the string connecting the blocks) do any work??

MIT 8.01 Physics I Classical Mechanics, Fall 1999
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|dw:1357247606005:dw| Yes, they do. But so do –T1 and –T2. Since the string is inextensible, powers of T1 and –T1 cancels out. So do powers of T2 and –T2. So whole system, including pulley is conservative.
so in any case work done by an inextensible string is 0?

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String has to be inextensible and massless too.
thanks so much! :)
Here is a summary of usual assumptions with tensions and pulley that I wrote last April to answer a question similar to yours.
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yeah got it crystal clear!

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