Equations of motion

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Homework Statement


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Homework Equations


upload_2016-11-13_18-12-40.png


The Attempt at a Solution


upload_2016-11-13_18-13-24.png

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upload_2016-11-13_18-14-42.png

upload_2016-11-13_18-17-21.png
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I changed my FBD, to make the units correct. But I still don't know if this is correct.
upload_2016-11-13_18-32-1.png


My new EOM and reaction forces come out to:

upload_2016-11-13_18-32-49.png


Is this correct? Or did I mess something up?

Thanks!