Motion of Particles and Rigid Body


   
 
Torque in Two and Three Dimensions
If a forceacts on a particle P, then the torque acting on the particle with respect to the origin O is given by
 
where gives the position of the particle with reference to the origin O.
 
If both and lie in the XY plane then, 
 
 
 
 
 
 
 
Generalising, the results to three dimensions
 
 
 
 
 
 
 
 
Also t can be written in terms of its components
 
 
Equating (1) and (2)
 
 

 
 
  
     
   
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