OK, a quick search shows the 2311 was indeed hydraulic!
(The following comes from my knowledge of the 2314, but it
is likely to be similar.) These had a Cessna hydraulic pump
belt-driven by the same belt that turned the spindle. Short
hoses connected it to a big tank at the back. This acted as
the fluid reservoir as well a a housing for the servo valve
and the linear actuator. It is very likely the seals on the
pump, valve and actuator have deteriorated, and the hoses
are cracked and brittle. If you were to fire it up, the
hoses might blow, and spray oil all over the inside of the
drive. This has happened at the two installations I was at,
while under IBM maintenance in the early 1970's. It caused
a lot of damage.
Jon