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Vector Addition

Two forces of...

Question

Two forces of $5$ N and $7$ N act on a particle with an angle of $60$ between them,Find the magnitude and direction of the resultant force.

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Solution

Given force $F_{1} = 5 N$ and $F_{2} = 7 N$ and $θ = 60$
We know resultant force $F = \sqrt{5^{2} + 7^{2} + 2 (5) (7) c o s 60} F = \sqrt{25 + 49 + 35}$
$F = \sqrt{109}$

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