Message from @hgb
Discord ID: 675487977887236116
it acts uniformly towards the centre of the mass
Not in the slightest mate
Yes
Which happens to create a sphere around this centre point
Imagine standing on an infinite plane. Where would gravity be acting on.
Towards the centre
Lol
Imagine an infinite plane
I am
Well where is it's centre?
∞/2
Lmao
But no.
Gravity would act downwards on such a plane
just not true
it would collapse onto that single point
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
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.
which is where force would be applied from radially
making it crumple in on itslef
g = GM/r2 correct?
Well no.
Because it has uniform gravitational forces at all places expect its boundaries.