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The sum of magnitudes of two forces acti...

The sum of magnitudes of two forces acting at a point is `16N`. If their resultnat is normal to the smaller fore and has a magnitude of `8N`. Then the forces are

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Let `vecF` be the resultant of two forces `vecF_(1) and vecF_(2)` as shown in figure with`F_(2) gt F_(1)`
`F_(2) sin theta=F_(1) " ".......(i)`
`F_(2) cos theta= F=8 " ".......(ii)`
Squaring and adding Eqs (i) and (ii) we get
`F_(2)^(2)=F_(1)^(2)+64 " ".......(ii)`
Given `F_(1)+F_(2)=16" ".......(iv)`
Solving Eqs (iii) and (iv) We get
`F_(1)=6 N and F_(2)=10N`
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