Answer to Question #170142 in Physics for dickson

Question

Three forces F1, F2 and F3 acting at O are in equilibruim, and the angle at inclination is 60, If the magnitude of F1 is 100N and F2 is 5N. calculate for F3

Answer 1

if the force $F_1=100\ N$ and is directed at an angle of $60°$ to the the positive x-axis, $F_2=5\ N$

along the negative Y-axis.

$F_x=100\cdot\cos60°=50\ (N)$

$F_y=100\cdot\sin60°-5=81.6\ (N)$

$F_3=\sqrt{50^2+81.6^2}=95.7\ (N)$

$\alpha=\tan^{-1}\frac{81.6}{50}=58.5°$

The force $F_3=95.7\ N$ and is directed at an angle of $238.5°$ to the the positive x-axis. Answer