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Maybenot,
I suppose you can start by defining the the force acting on the system. Where does it come from? What are its characteristics? What is its source?
See? It's too easy to mentally introduce an imaginary force that doesn't have to answer to the conditions of the system.
In a real space environment, this force must come from something, somewhere. Whether it be rockets, ion beams, meteor showers, or whatever, it introduces added mass and energy to the system that must be accounted for if we are to consider the system in full isolation. You can't just "(whatever)" it into irrelevance.
Think about it like this. If your pivot was motorized such that all the energy of opening and closing the "V" came from an internal source, what would happen?
In your last example, whether you realize it or not, the center of gravity will not move. "Raising" two arms does throw the apparent center of mass (the pivot) "downward" in relation to the system's boundaries more than closing the two lower masses together "raises" it, but the compensation will be that the pivot will apparently move "downward" and, in fact, the boundaries move in perfect sync to the center of mass which while only apparently moving "downward" is compensated for by the redistribution of weight around the center of mass. Therefore what is really happening is that the center of mass for the system is changing in relation to the mass distribution, but not in relation to the center of gravity. Your mistake is probably in viewing the pivot as representing the center of mass irrespective of the mass distribution around it.
Overtime, I've seen a lot of ideas like this come and go. They don't work. There is a fun way to experiment with these concepts though. I recommend that you download this free http://Newton.delphigl.de/Newtonplayground.html. Although it's designed to be a game driver, it can be used to conduct quite accurate physics simulations. For zero-g space, set the gravity to zero, delete the floor and make sure all of your objects aren't dampened (by default). You can then design, build, and test your ideas in a zero-g environment. If they propel themselves in this program (without pushing on anything), that would be very interesting... indeed.
P.S. Before you go there, having the masses on the ends be gyros has been investigated. No resultant propulsive properties were noted.
I suppose you can start by defining the the force acting on the system. Where does it come from? What are its characteristics? What is its source?
See? It's too easy to mentally introduce an imaginary force that doesn't have to answer to the conditions of the system.
In a real space environment, this force must come from something, somewhere. Whether it be rockets, ion beams, meteor showers, or whatever, it introduces added mass and energy to the system that must be accounted for if we are to consider the system in full isolation. You can't just "(whatever)" it into irrelevance.
Think about it like this. If your pivot was motorized such that all the energy of opening and closing the "V" came from an internal source, what would happen?
In your last example, whether you realize it or not, the center of gravity will not move. "Raising" two arms does throw the apparent center of mass (the pivot) "downward" in relation to the system's boundaries more than closing the two lower masses together "raises" it, but the compensation will be that the pivot will apparently move "downward" and, in fact, the boundaries move in perfect sync to the center of mass which while only apparently moving "downward" is compensated for by the redistribution of weight around the center of mass. Therefore what is really happening is that the center of mass for the system is changing in relation to the mass distribution, but not in relation to the center of gravity. Your mistake is probably in viewing the pivot as representing the center of mass irrespective of the mass distribution around it.
Overtime, I've seen a lot of ideas like this come and go. They don't work. There is a fun way to experiment with these concepts though. I recommend that you download this free http://Newton.delphigl.de/Newtonplayground.html. Although it's designed to be a game driver, it can be used to conduct quite accurate physics simulations. For zero-g space, set the gravity to zero, delete the floor and make sure all of your objects aren't dampened (by default). You can then design, build, and test your ideas in a zero-g environment. If they propel themselves in this program (without pushing on anything), that would be very interesting... indeed.
P.S. Before you go there, having the masses on the ends be gyros has been investigated. No resultant propulsive properties were noted.
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