What is the resultant magnitude of forces ( F 1+F 2+F 3 ), if ( F 1=40 mathrm{kN}, mathrm{F} 2=30 mathrm{kN} ), and ( F 3=50 mathrm{kN} ), and angle "a" ( =230 ) degrees, angle "b" ( =310 ) degrees, and the direction of ( F 3=0 ) degrees? Use force units and no decimal points

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Accepted Answer

Step:1 ：( F_1x = 40 cos{230^circ} ), ( F_1y = 40 sin{230^circ} )Step:2 ：( F_2x = 30 cos{310^circ} ), ( F_2y = 30 sin{310^circ} )Step:3 ：( R_x = F_1x + F_2x + F_3x ), ( R_y = F_1y + F_2y + F_3y )Step:4 ：( R = sqrt{R_x^2 + R_y^2} )

Answer

Step: 1 ：( F_1x = 40 cos{230^circ} ), ( F_1y = 40 sin{230^circ} )Step: 2 ：( F_2x = 30 cos{310^circ} ), ( F_2y = 30 sin{310^circ} )Step: 3 ：( R_x = F_1x + F_2x + F_3x ), ( R_y = F_1y + F_2y + F_3y )Step: 4 ：( R = sqrt{R_x^2 + R_y^2} )

What is the resultant magnitude of forces \( F 1+F 2+F 3 \), if \( F 1=40 \mathrm{kN}, \mathrm{F} 2=30 \mathrm{kN} \), and \( F 3=50 \mathrm{kN} \), and angle "a" \( =230 \) degrees, angle "b" \( =310 \) degrees, and the direction of \( F 3=0 \) degrees? Use force units and no decimal points

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