First slide

Scalars and Vectors

Question

Two forces, each of magnitude F have a resultant of the same magnitude F. The angle between the two forces is

Moderate

A

45⁰
B

120⁰
C

150⁰
D

60⁰

Solution

$\begin{array}{l} R = \sqrt{A^{2} + B^{2} + 2 A B \cos θ} \\ By substituting, A = F, B = F and R = F we get \\ \cos θ = - \frac{1}{2} \\ ∴ θ = 120^{\circ} \end{array}$

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