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Centre Of Mass

Centre Of Mass

by Shashank Todwal -
Number of replies: 1

Can anyone try to give a proof for the formula of finding centre of mass which is given mostly in any book as a standard formala as

\(X_{CM}=\frac {1}{M}\Sigma(m_ix_i)\)                                             

Try it. If you fail, contact me.I have done it.

(Edited by INDIANET @IIT-JEE - Monday, 10 April 2006, 03:34 AM)
In reply to Shashank Todwal

Re: Centre Of Mass

by bharadwaj bharadwaj -
by definition the centre of mass should move as if all forcee were acting on it and all mass were concentrated there. by differentiating the expression for c.m
w.r.t time twice ,it can be verified.
moreover, any point given by R=R(cm)+at+b, will also behave like c.m.
(R: position vector
a,b: constants wrt time
t: time)