Problem

What is the resultant magnitude of forces \( F 1+F 2 \), if \( F 1=40 \mathrm{kN}, \mathrm{F} 2=66 \mathrm{kN} \), angle "a" \( =220 \) degrees, and angle "b" \( =340 \) degrees? Use force units and two decimal points

Solution

Step 1 :Calculate individual force components: \(F_{1x}=40\mathrm{kN}\cos{220}\degree\), \(F_{1y}=40\mathrm{kN}\sin{220}\degree\), \(F_{2x}=66\mathrm{kN}\cos{340}\degree\), \(F_{2y}=66\mathrm{kN}\sin{340}\degree\)

Step 2 :Add force components: \(F_{x}=F_{1x}+F_{2x}\), \(F_{y}=F_{1y}+F_{2y}\)

Step 3 :Calculate resultant magnitude: \(F=\sqrt{F_{x}^2+F_{y}^2}\)

From Solvely APP
Source: https://solvelyapp.com/problems/16110/

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