How can I determine if a rotating thin shell cylinder space station is stable? Its dimensions are:
radius = 895m length = 1150m thickness of the shell = 15m
The interior is filled with lunar regolith, weighing 10+ tons/m3. RPM=1 and rotational speed is 95.2952m/s.
The shell is to be composed of kevlar and carbon fiber. The structure is intended to be used as a human settlement. Can you help me to figure out if it's stable or not?
What i mean by stable is- As the station rotates generating gravity on the inside, there are forces acting in different directions and if it is not right it might wobble. Here moment of inertia can be taken into account and according to thumbs rule in order for a station to rotate stably it's major axis moment of inertia has to at least 20% greater than the minor ones.
(I am doing this for a competition. The idea is to design a settlement, and I have designed one. I am still in grade 9, but I'm really interested in physics and if one of you could help it would be highly appreciated.)