Question

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Answer 1

[tex]\displaystyle\text{Scriem regula momentelor, luand ca punct de sprijin punctul O:}\\ \\ \\ \overrightarrow{M}_{F_A}}}+\overrightarrow{M}_{F_B}}}=0\\ \\ M_{F_A}-M_{F_B}=0 \\ \\ F_A \times r_A-F_B\times r_B=0 \\ \\ F_A \times a\times \sin\alpha-F_B\times b\times \sin\beta=0\\ \\ F_A \times a\times \sin\alpha=F_B\times b\times \sin\beta\\ \\ \\ \text{De unde obtinem:} \\ \\ \\ \frac{F_A}{F_B}=\frac{b\times\sin\beta}{a\times\sin\alpha}[/tex]