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Q.

One of the rectangular components of a force of 10N is 5N. the other components is $x \sqrt{3} N$ . find x value

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answer is 5.

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Detailed Solution

$F = 10 N, F_{x} = 5 N$

$F^{2} = F_{x}^{2} + F_{y}^{2} \Rightarrow \sqrt{F^{2} - F_{x}^{2}} = F_{y}$

$= \sqrt{{(10)}^{2} - {(5)}^{2}} = 5 \sqrt{3} N = x \sqrt{3} N$

$\Rightarrow x = 5$

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