Visualization of Relative Acceleration in Plane Motion

 

 

  Given:    aA ,   rAC ,  ω k,  α k             Objective:  Draw vector diagram for  aC .

 

                                           

 

 

                                    

 

 

Note:  The normal component of relative acceleration,  aC/A|n is directed from C to A (Fig 2A, 2B).

            Its magnitude is  |AC| ω2 (Fig 2C).  The tangential component of relative acceleration, 

            aC/A|t is normal to the line from C to A (Fig 2A,2B).  Its direction comes from the sign of the   

            angular acceleration (Fig. 2C).  Its magnitude is  |AC| α  (Fig 2C). 

 

Add vectors on RHS to obtain vector diagram for  aC  on LHS.

 

 

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