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  • two forces of magnitude 5N and 10N are incligned with each other by 30 degree.what is the magnitud and direction of the resultant

two forces of magnitude 5N and 10N are incligned with each other by 30 degree.what is the magnitud and direction of the resultant

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\begin{array}{l} R^{2}=5^{2}+10^{2}+2 * 5^{*} 10 \cos 30 =125+50 \sqrt{3} \\ R=211.6 \mathrm{N} \end{array}

For direction

\begin{array}{l} \tan a=Q \sin 30 /(P+Q \cos 30) \\ \quad=10 * 0.5 /(5+10 \sqrt{3 / 2)}\\ \Rightarrow \quad a=20.1^0 \end{array}

R makes an angle of α = 20.1 degrees with the force 5 N.

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avinash.dongre

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