.....if you take a look at : https://demonstrations.wolfram.com/SpringMassSystemOnARotatingTable/
......but replace the "virtual" reality/"screen" demonstration with a varying easy test : the dynamics of a mass spring system on a rotating support in the VERTICAL PLANE !!!
Al_ex
Hi Jerry !
In my opinion , changing the plane ( horizontal to vertical ) îs a simple test with a particular variable pendulum /mass-spring system (a sliding mass moving to and fro on radius due to gravity and rotational inertia ) and a flywheel : we play in the same time the tangential and radial acceleration , as a possible self accelerating system/pendulum ?!
Al_ex