Rolling pendulum angular acceleration

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YaniHozya
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Homework Statement
My lecturer is absent and hasn't been replying to my emails, and im unable to find much online about pendulums on trolleys so i would much appreciate any advice or help on how to do this question.
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Welcome, YaniHozya!
What are those methods taught in the module that the question mentions?
Please, show us any work that you have done so far, or ask about things that you still don't understand.