# Problem: The bolt is subjected to the force F, which has components acting along the x, y, z axes as shown.Part AIf the magnitude of F is 90 N , and α = 64° and γ = 41°, determine the magnitude of Fx component.Part BDetermine the magnitude of Fy component.Part CDetermine the magnitude of Fz component.

###### FREE Expert Solution

We are given a 3D force. We'll need various relations.

$\overline{){{\mathbf{\left(}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\alpha }}{\mathbf{\right)}}}^{{\mathbf{2}}}{\mathbf{+}}{{\mathbf{\left(}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\beta }}{\mathbf{\right)}}}^{{\mathbf{2}}}{\mathbf{+}}{{\mathbf{\left(}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\gamma }}{\mathbf{\right)}}}^{{\mathbf{2}}}{\mathbf{=}}{\mathbf{1}}}$

Part A

The x-component of force is:

$\overline{){{\mathbf{F}}}_{{\mathbf{x}}}{\mathbf{=}}{\mathbf{F}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\alpha }}}$

We're given the magnitude of force to be 90N and α = 64°

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###### Problem Details

The bolt is subjected to the force F, which has components acting along the x, y, z axes as shown.
Part A

If the magnitude of F is 90 N , and α = 64° and γ = 41°, determine the magnitude of Fx component.

Part B

Determine the magnitude of Fcomponent.

Part C

Determine the magnitude of Fz component.