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Resolution of Forces:
This topic is important, but is really the opposite to Addition of forces.
Recalling that two forces can be added to give a single force known as the Resultant, it is obvious that this single force can be considered as the addition of the two original forces.
Therefore, the single force can be separated or Resolved into two components.
It should be appreciated that almost always the single force is resolved into two components, that are mutually perpendicular.
This technique forms the basis of the mathematical methods for adding forces.
Note that by drawing the right-angled triangle, with the single force F, and by choosing angle θ relative to a datum, the two components become F sinθ and F cosθ.
Compound microscope principal.
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