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

Question

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

Answer 1

Neelam Wainwright

Answered 2021-02-12 Author has 102 answers

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Answer 2

By sine rule:

$\frac{F_{u}}{\sin 45^{\circ}} = \frac{F_{v}}{\sin 30^{\circ}} = \frac{F_{z}}{\sin 75^{\circ}}$

$\Rightarrow F_{u} = \frac{F_{z}}{\sin 75^{\circ}} \times \sin 75^{\circ}$

$\Rightarrow F_{u} = F_{z} \Rightarrow F_{u} = 6 K n$ - Answer

and $F_{v} = \frac{F_{z}}{\sin 75^{\circ}} \times \sin 30^{\circ} = \frac{6}{\sin 75^{\circ}} \times \sin 30^{\circ}$

$\Rightarrow F_{v} = 3.106 K n$ - Answer

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