Resolution of a force:
A force can be resolved into 2 components in an infinite number of ways. The most significant case of resolution of forces occurs when we resolve the force into 2 components at right angles to one another.
Components of a Force in Two Directions:
Let F be given force represented in the magnitude and direction by OC and let directions of the 2 components be along OL and OM.
Also Then
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Remark:
- When the given force is resolved into 2 directions which are at the right angles to each other, then its component in these directions is called as resolved parts of given force. Clearly, the resolved part of the given force in a given direction can be obtained by multiplying given force by the cosine of angle between given force and given direction. Now in above situation if a+b = 90°, then .
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