Resolve the 30-lb force into components


Resolve the 30-lb force into components along the u and v axes, and determine the magnitude of each of these components.

Resolve the 30-lb force into components

Solution:

Draw the components as follows. (Note that the diagrams are not to scale)

Resolve the 30-lb force into components

Draw the vector components separately as follows.

Resolve the 30-lb force into components Resolve the 30-lb force into components

Use sine law to figure out the magnitude of each component.

\frac{v}{\sin30^0}=\frac{30}{\sin105^0}

v=15.5lb

\frac{u}{\sin45^0}=\frac{30}{\sin105^0}

u=22lb

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