Skip to content

Position vector for the center of mass from an arbitrary origin

Home arrow Problems and Answers arrow Classical Mechanics arrow Position vector for the center of mass from an arbitrary origin


Position vector for the center of mass from an arbitrary origin E-mail
User Rating: / 0
PoorBest 
Prove that position vector for the center of mass from an arbitrary origin is given by this equation.
 
Classical Mechanics - Position vector for the center of mass from an arbitrary origin. Classical Mechanics - Position vector for the center of mass from an arbitrary origin.
Prove that the magnitude R of the position vector for the center of mass froman arbitrary origin is given by the equation:
kinetic energy
(Source: Herbert Goldstein, Classical Mechanics - Chapter 01)
 




Solving for ri · rj realize that rij = ri - rj. Square ri - rj and you get


Plug in for ri · rj
 
[ Back ]