Can I use 2 different coordinate systems for one system?

uzman1243
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Homework Statement


As shown in the image below, can I use 2 different co-ordinate systems when drawing the free body diagram for each object?
attachment.php?attachmentid=72953&stc=1&d=1410343685.png



Homework Equations





The Attempt at a Solution

 

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Yes. Yes I can.
 

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