# Resolve the force F2 into components acting along the u and v axes and determine

Resolve the force F2 into components acting along the u and v axes and determine the magnitudes of the components.

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Neelam Wainwright
Jeffrey Jordon

By sine rule:

$\frac{{F}_{u}}{\mathrm{sin}{45}^{\circ }}=\frac{{F}_{v}}{\mathrm{sin}{30}^{\circ }}=\frac{{F}_{z}}{\mathrm{sin}{75}^{\circ }}$

$⇒{F}_{u}=\frac{{F}_{z}}{\mathrm{sin}{75}^{\circ }}×\mathrm{sin}{75}^{\circ }$

and ${F}_{v}=\frac{{F}_{z}}{\mathrm{sin}{75}^{\circ }}×\mathrm{sin}{30}^{\circ }=\frac{6}{\mathrm{sin}{75}^{\circ }}×\mathrm{sin}{30}^{\circ }$