Register to reply 
Can Newton's Laws of Motion be simplified? 
Share this thread: 
#19
Nov2012, 05:33 PM

P: 1,005

Andrew Mason: I don't like your derivation of the third law from Galilean relativity. Suppose that we have a system of three particles A,B,C. Then the condition that the momentum is conserved in the system is as you say:
(Fab+Fac+Fba+Fbc+Fca+Fcb)*dt=0 But I don't see how setting Fxy = Fyx is the only solution to that equation. How about for instance: Fac = Fab, Fba=Fbc,Fca=Fcb? why couldn't I assume that. It would be a wicked world yes, but I don't see a problem with it. 


#20
Nov2012, 10:22 PM

Sci Advisor
HW Helper
P: 6,679

If, during an interval Δt, a, b and c interact with each other, the times of interactions between a and b, between a and c and between b and c will almost always differ. You have to analyse each interaction separately. When you do that, the following will always hold true in Galilean Relativity: (F_{ab} + F_{ba})Δt_{ba} + (F_{ac} + F_{ca})Δt_{ac} + (F_{bc} + F_{cb})Δt_{bc} = 0 In order for this relationship to apply at ALL times during the interaction, the force pairs must be equal in magnitude and opposite in direction (ie. each force pair sums to 0). AM 


Register to reply 
Related Discussions  
Newton's laws of motions  General Physics  3  
Dynamics (Newtons Laws of Motion) and Projectile motions  Introductory Physics Homework  4  
Newton's Laws o motions  two wedges  one sliding over the other  Introductory Physics Homework  3  
Laws or motions and a truck that won't move.  Introductory Physics Homework  1  
Physics Involving Newton's Laws of Motions (specifically g, and the normal force)  Introductory Physics Homework  5 