Math for the Movement of Rigid Bodies

Here is a bit of what it takes to deal with arbitrary movements or translation plus rotation of a rigid body. The pictures are straight form Wikipedia.
Note that it is hard to express all that without equations
   
 
 
 
 
 
 

With frame With frame as PDF

go to 12.3 Dynamic Properties; 12.3.1 Moving a Stick

© H. Föll (Iron, Steel and Swords script)