(Solved): Consider a w-N weight suspended by two wires as shown in the accompanying figure. If the magnitude ...

Consider a w-N weight suspended by two wires as shown in the accompanying figure. If the magnitude of vector \( F_{2} \) is \( 170 \mathrm{~N} \), find \( w \) and the magnitude of vector \( F_{1} \). What is the weight, w? (Type an integer or decimal rounded to three decimal places as needed.)