So I was thinking , in relation to the planet does gravity extend in a one dimentional plane at the equator or is that overly simplistic and its several circumferences from pole to pole, but smaller as you visualize the poles.
Your question makes no sense. The force of gravity at any point at or above the Earth’s surface (ignoring effect of unevenness like mountains and valleys) points toward the center of mass and changes inversely with the square of the distance from that center of mass.
Gravity (at a sufficient distance) acts like it is originating from a point located at the (aptly named) center of gravity of the object. Anything that falls will attempt to fall towards that mathematical point.
So from space, would that be the equator. Basically for purposes of simplifying it for me, if a rock traveling at no real great speed will be captured by Earth gravity and fall towards the center mass which would be equatorial ?
It’s not on the equator. Stand up and look towards your feet: the point is down that way, at the centre of the earth.
No. Gravity works exactly the same way on the surface of Earth as it does in space. Newton did not notice an apple depart a tree and fly off towards the equator. Pick up an object near you, then drop it and observe it not heading towards the equator. Center of mass means just that, the center of mass, which for spherical objects is almost always going to be the geometric center. The equator is an imaginary line defined by the rotational axis of the Earth and points on the equator are no more significant than any other point on the surface of the Earth in respect to gravity–and points on the surface of the Earth are as far from the center of mass as you can get without leaving the surface.
tl;dr:All that gravity knows about is “down.”
Thanks Darren
The only reason that the Earth has poles and that there is an equator is because of the spin of the Earth. However, the spin has nothing to do with the mass of the year. The Earth would have the same mass and hence the same gravity if there were no spin.
That isn’t what time-space means.
Moderator Action
Since these questions about gravity are factual in nature, this is better suited to GQ.
Moving thread from MPSIMS to GQ.
Gravity is a force that acts between all matter, all of the time.
An apple on your table is receiving a gravitational tug from the particles in your body, and a tug from the particles in your car parked outside. And you can imagine all parts of the earth are pulling on the apple; not just straight down but also north, south, east and west. When you add up all the little tugs, bearing in mind there’s a trillion cubic kilometers of rock approximately “down”, the resultant force is towards the Earth’s center (of gravity).
What did we do before the Law of Gravity was passed? 
To the OP, as others have explained, objects are pulled toward the center of mass. The equator is an imaginary line that we, humans, drew up to separate the top half of the planet from the bottom half. If an object were on a line extended from the equator (think like Saturn’s rings), it would be pulled toward the equator; however, it if was over any other point on the planet, it would be pulled to the nearest point of planet & not towards the equator.
Oh, it was chaos! France and England couldn’t agree on what was down, and any upstarts knight could change the direction things fell at a whim. Fortunately it was passed in 1107 and worked its magic quietly until it was discovered by Newton and used to develop modern science.
Actually, because the earth is not a perfect sphere, gravity is not towards the center of mass. In fact, it is very slightly offset towards the equator, because the earth has an equatorial bulge due to its rotation. This is enough to affect the orbits of satellites - namely, it causes nodal precession.
Well, when told in amazement that he was defying the law of gravity, he coyly responded with a twinkle in his eye, “I never studied law.”
No, it is towards the center of mass–it is just that the center of mass may not precisely match the geometric center.
The general piece has been discussed but…you knew there was a but…it is possible to notice gravitation attraction that is not directed radially.
Being near a sufficiently large mass, say a mountain, can induce a small localized change in the path a particle would take. The Schiehallion experiment was the original experiment where the deflection due to a local mass was used to measure the density of the Earth.
No, it’s not. See the link I posted. For a rotating body like the earth, the gravity is slightly towards the equator. The “center of mass” thing is only true for spherically symmetric objects.
The distance between Earth’s center of mass and center of gravity is a couple of miles or less.