Message from @Monticks
Discord ID: 675488527043264553
Because every local position has the same mass on the plane
yes but tell me
You have the same mass to your left and right
where would its centre of mass be
It wouldn't matter in this case.
Break it down into a load of squares
it it the exact point
Imagine Minecraft, gravity would act downwards in that case.
Because a sufficiently far object exerts no force on you.
And you have the same mass uniformly radially around you and under you.
The problem with that is there is a centre of gravity somewhere
There's no problem with that at all.
An infinite plane with uniform mass does not exist
There is
Hehe
It doesn't need to be infinite
Just large enough
It does because then a centre of the object can be found
which is its centre of mass
And force would be uniformly downward.
making it crumple in on itslef
g = GM/r2 correct?
Well no.
Because it has uniform gravitational forces at all places expect its boundaries.
Except.
Unlike the earth
In a round sense
as the mass of such size would create such an immense gravity that it collapses in on itself
Which would have more gravitation at different parts in it.
No. You cant wrap your head around the idea that gravity comes from the centre of mass
which is the object is unifrom
It's like saying: gravity exists therefore the universe must collapse.
so your saying , g = GM , then
it is the centre of the object
boy xD
It would be insignificant at large distances
So it would be uniform
The centre is still the centre
Perform an experiment. Have a large plane perpendicular to the earth, place an object near it, see where the gravitational force acts on that object.