Either a purely mechanical, balanced, spinning gyroscope mounted in a restraint free 3 axis gimbal on the surface of the earth exhibits rigidity in space or it does not.
What is it you're trying to prove with this example?
Are you simply trying to get confirmation of how a gyro works, or is this part of a bigger argument?
79 posted on 08/31/2018 1:23:20 PM PDT by Ol' Dan Tucker
(For 'tis the sport to have the engineer hoist with his own petard., -- Hamlet, Act 3, Scene 4)