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

Lipossig 2021-02-11 Answered

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

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## Expert Answer

Neelam Wainwright
Answered 2021-02-12 Author has 102 answers
Jeffrey Jordon
Answered 2021-09-24 Author has 2064 answers

By sine rule:

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

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

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

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