Solution 4.5d

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(New page: Image:teori4.gif Using <math>{{F}^{2}}={{H}^{2}}+{{V}^{2}}</math> and <math>\tan \alpha =\frac{V}{H} </math> Here <math>V=-7\ \text{N}</math> and <math>H=-5\ \text{N}</math>...)
Current revision (16:10, 4 February 2011) (edit) (undo)
 
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<math>F=8.6\ \text{N}</math>
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<math>F=8\textrm{.}6\ \text{N}</math>

Current revision

Image:teori4.gif

Using \displaystyle {{F}^{2}}={{H}^{2}}+{{V}^{2}}

and

\displaystyle \tan \alpha =\frac{V}{H}

Here

\displaystyle V=-7\ \text{N} and \displaystyle H=-5\ \text{N}.

Substituting the given values


\displaystyle {{F}^{2}}={{\left( -5 \right)}^{2}}+{{\left( \grave{\ }-7 \right)}^{2}}=74


giving


\displaystyle F=8\textrm{.}6\ \text{N}


Also

\displaystyle \tan \alpha =\frac{-7}{-5}=1\textrm{.}4 giving

\displaystyle \alpha =-125\textrm{.}5{}^\circ

Here the solution in the third quadrant has been chosen.