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DYNAMICS - THEORY


Radial Direction


Transverse Direction

 

In the previous chapter, the Curvilinear Motion: Polar Coordinates section developed expressions for acceleration in polar coordinates,

     
where
     
     

Using this representation of acceleration, Newton's Second Law can be expressed in terms of polar coordinates, giving

    ΣFrer + ΣFθeθ = m (arer + aθeθ)

The full relationship is:

 
 

Or, each of the two directions can be separated, giving

     

     

     
   
 
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