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Normal Force

Two forces wi...

Question

Two forces with equal magnitudes F act on a body and the magnitude of the resultant force is F/3. The angle between the two forces is

A

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B

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C

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D

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Solution

The correct option is A

$F_{n e t}^{2} = F_{1}^{2} + F_{2}^{2} + 2 F_{1} F_{2} c o s θ$
$\Rightarrow (\frac{F}{3})^{2} = F^{2} + F^{2} + 2 F^{2} c o s θ R i g h t a r r o w c o s θ = (- \frac{17}{18})$

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