How to Solve a Pulley/Distributed Load Problem for an Engineering Exam?

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aaronjason
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Hi there, I am new to this forum, and I need help doing a problem befor my engineering exam in a few days. It is a pulley/ Distributed load problem. I have attached an image with the actual question so yu can have a look at. Any help will be appreciated. Thanks a lot in advance!
 

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I think the line of action of weight of the two right angled lamina will through their center of mass which are not midway.
 

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