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From: Luigi Fortunati <fortunati.luigi@gmail.com>
Newsgroups: sci.physics.research
Subject: Re: Converging forces
Date: 30 Apr 2025 07:04:27 GMT
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Luigi Fortunati il 27/04/2025 17:23:11 ha scritto:
> The small body P is at rest at the point x_P=0, while the bodies A and 
> B approach at the same speed from the left and right, arriving at P at 
> the same time, as shown in the animation
> https://www.geogebra.org/classic/fyymjr9s  
>
> During the collision, the crushing of the tiny body P is always there 
> (regardless of the mass of the two bodies A and B) because the forces 
> F1 and F2 are convergent.
>
> Instead, the acceleration of P may or may not be there because, after 
> the collision, P can start moving to the right or to the left (changing 
> its speed from zero to +v or -v) or it can remain at its initial place 
> x_P=0, leaving its zero speed unchanged.
>
> What conditions must be met for P to accelerate to one side or the 
> other and what conditions for it to remain at rest in its place?
>
> If the small body P is not there and the points A and B collide 
> directly with each other, do the forces F1 and F2 stop being 
> convergent?
>
> Luigi Fortunati
>
> [[Mod. note -- We are given that A and B have the same speed.  So, if
> (and only if) A and B have the same mass, then the system is left-right
> symmetric, so P will remain stationary.
> -- jt]]

If A and B have the same mass, will only P remain stationary or will 
the entire system A+P+B remain stationary?

Are the internal forces of the system A+P+B (F1 and F2) in equilibrium 
only if A and B have the same mass or are they also in equilibrium when 
their masses are different?

Luigi Fortunati