# The force F = 450 lb acts on the frame 4

The force F = 450 lb acts on the frame. Resolve this force into components acting along members AB and AC , and determine the magnitude of each component. # Solution:

Draw the components as follows. The goal of drawing out the components is to find the missing angles. We can use the alternate interior angles theorem, corresponding angles theorem and consecutive angles theorem to figure out the values.

After we figure out the angles, we can draw the vector components separately as follows. Use sine law to solve for $F_{AB}$ and $F_{AC}$

$\dfrac{F_{AB}}{\sin105^0} = \dfrac{450}{\sin30^0}$

$F_{AB} =869lb$

$\dfrac{F_{AC}}{\sin45^0} = \dfrac{450}{\sin30^0}$

$F_{AC} =636lb$

Another similar example to look at is to analyze forces effecting a bracket.

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