Micro Gravity and A Space Elevator?

I haven't done any research in this area. Does anyone know of any
studies of micro-gravity inside the cab of a space elevator?

Remember to work, the entire system has to be under elastic tension. The
designs I've seen discussed use a big counter-mass at the far space end
of the cable to hold the system in place above the anchorpoint on
Earth's equator.

The trivial case is when the cab is down on the Earth side. Obviously
we're at 1G on the surface. I've presumed as the cab rises the effect of
Earth's gravity goes down as inverse square (Universal Gravitation):

https://en.wikipedia.org/wiki/Newton's_law_of_universal_gravitation

Are objects inside the cab of the space elevator near the "space" end
undergoing any form of microgravity? The system really isn't in free
fall because of the counter-mass suspended above it and the cable
running below. Does the tensive forces provide any form of microgravity
inside the cabin or are the occupants fully in 'free fall'? That doesn't
seem quite correct either. Only if the cabin were in orbit without any
connective cable. The counter-mass *is* appling force to the system to
hold it stable. Maybe the effect of any 'artificial gravity' are too
small to be consequential? If you were to suspend a cabin above the
counter-mass would you end up with an artificial gravity in the vector
direction of 180 degrees opposite the Earth's surface? i.e. the 'floor'
of the cabin becomes the surface of the cabin opposite the Earth,
alongside empty space?

I haven't studied this question at all. Any cites to any studies on this
appreciated.

Dave