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Q.

Two forces of magnitudes 3 units and 5 units act at 60° with each other. What is the magnitude of their resultant ?

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Detailed Solution

$Given | \vec{P} | = 3; | \vec{Q} | = 5; θ = 60^{\circ}$
Magnitude of resultant,
$\begin{array}{l} R = \sqrt{P^{2} + Q^{2} + 2 PQcos θ} \\ = \sqrt{3^{2} + 5^{2} + 2 \times 3 \times 5 \cos 60^{\circ}} = 7 units \end{array}$

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