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Can it be said that for a system of finite particles the centre of mass is the point where the field due to all the particles is zero. If yes can a similar conclusion can be taken to electrostatics in the form of the centre of charge. Plz help.......
the statement can be true in case of symetric distribution of equal masses. in other cases the forces are not cancelled out
at c.o.m position.
for example imagine a square with vertices of co-ordinates (0,0) (0,1) (1,1) (1,0) at which masses of m,m,mand 2m are kept respectively. The c.o.m position is (3/4,1/2) . if we consider the forces due all the masses.
consider force lines A and B they are symmetric so equivlent vector for them is horizontal but for rest two force lines (unnamed) the force due to 2m is more so equcalent vector is slightly towards 2m and hhence the net force is not zero at c.o.m
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