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Mechanics Centre of mass Question

Hello, I can't understand part c. I got the answer by trial and error but please can anyone explain the concept of it? Many thanks55E67CF6-61C9-4458-AA90-CF5683FAB19F.jpg.jpeg
The CoM will be directly underneath the point of support F

you need to find the position at which a vertical line through the CoM intersects AB when AB is tilted as described.

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