Determine Forces Acting on Rope for Homogeneous L-Shaped Beam

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To determine the forces acting on the ropes supporting a homogeneous L-shaped beam, one must analyze the gravitational force acting on the beam and decompose it appropriately. The beam's longer arm is three times the length of the shorter arm, which suggests a ratio of forces at points A and B may be relevant. The discussion emphasizes the importance of taking moments about one end of the beam to establish equilibrium equations. Participants are encouraged to share any equations they can derive from their analysis. Understanding the total vertical force in each scenario is crucial for solving the problem effectively.
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Homogeneous beam shaped in letter L is suspended on two ropes of the same length l.
The beam is of negligible thickness and its longer arm is three times longer than the shorter arm. Its overall length is l as well as the length of one rope. Look at each situation in the figures. How can I determine the forces acting on the rope at points A and B in both situations?
There is picture on first example: http://fyzikalniolympiada.cz/archiv/55/fo55a1_z.pdf

I really don't know, how to do it. Gravitational force acts on the beam, OK... And I have to
decompose the force on the beam. But how? What is different in the two situations? I don't know...
May I can decompose in ratio 3:1.
I solved a example where was a weight on two ropes and I must to determine the forces on ropes like on pictures of second example (http://fyzikalniolympiada.cz/archiv/54/fo54d1_z.pdf). However, I think it was easier... Is the example with beam similar? I really don't know more, sorry... Please, give me a advice and sorry for my English.
 
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You know the total vertical force in each case, right? What equation does that give you?
Try taking moments about one of the ends of the beam.
Please post whatever equations you can develop.
 
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