2019 WAEC Further Mathematics Theory Three forces N, 14N and 16N acting on a particle keep it in equilibrium. Find...

Three forces N, 14N and 16N acting on a particle keep it in equilibrium. Find the angle between the forces 10N and 16N.

If we let \(\beta\) be the angle between the forces 10N and 16N,

then \(\beta\) = (180\(^o\) - \(\theta\))

Applying the cosine rule; cos\(\theta\) = \(\frac{10^2 + 16^2 - 14^2}{2 \times 10 \times 16}\) = 0.5

If \(\theta\) = cos\(^{-1}\)(0.5) = 60\(^o\)

\(\beta\) = 180\(^o\) - 60\(^o\) = 120\(^o\)

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