Let force F1=80N
Let the force F2=45N
The resultant of the two forces can be obtained using:
R2=F12+F22−2F1F2cosθ
The angle formed between the two forces lies in the second quadrant. Thus the value of cosθ will be negative.
Thus:
R2=802+452−2×80×45×cos(180°−100°)R2=6400+2025−7200×cos80°R2=8425−7200×0.1737R2=8425−1,250.64R2=7,174.36R=7,174.36R=84.7N
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