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- Homework Statement
- Consider a board like the one in the figure below. Assuming that the potential energy does not change when placing the balance in a horizontal position, and disregarding the mass of the board, show:

a) The relationship between the potential energy gained by the object of mass ##M## and the decrease in the potential energy of the object of mass ##m## when the balance is positioned horizontally.

b) The relationship between the quantities ##M##, ##m##, ##L## and ##l##.

- Relevant Equations
- There's none

Hello, thanks for the attention. Well, knowing that the only acting force is the gravitational force, I stated that ##U=-MgH## for the ##M## mass block and that ##U=mgh## for the ##m## mass block. After that I divide the two and got the relationship for the alternative "a". For alternative "b" I used the equilibrium condition and stated that ##MgL=mgl##, such that ##\frac{M}{m}=\frac{l}{L}##. But I don't know if it's correct. Could you help me with the resolution?

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