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Tom,
"Do you know what you mean by that? I don't. In the conservation of angular momentum in a spinning object, the central point is fixed -- the speed of points equidistant from that point vary evenly from the origin to the extremus. That is, like an ice skater drawing her arms in to spin faster and extending them to slow -- the difference between fast and slow is conserved as a unitary function. It isn't the inertial motion outward that increases local energy (and therefore temperature), but the true centrepital force inward that does so. When I was 12, I had an old Cushman motor scooter to deliver my paper route, which had a centrifugal clutch -- I must have taken that old scooter apart and reassembled it a dozen times in this short carefree part of my life -- the clutch works by expanding its spring-attached pads to the drum lining. When the pads are spinning fast enough -- driven by the energy input from the motor controlled by my hand operating the accelerator -- they contact the lining and transfer part of the force from the heat-generating friction of the lining to the wheel connected to the clutch, and the scooter ... scoots. It should be easy to see that it's not the centrifugal momentum that powers the scooter; it's the energy of the friction lining, stored and then transferred to produce what we call work, with the greater part of the energy content dissipated. Were the lining frictionless, no energy could be directed, no temperature created."
I did grow up on a farm, I do understand the physical effect.
The point is what is the spin in relation too? Is it in relation to other points of reference? For one thing, it's not about energy conserved as diameter of the object changes. This would just be a stable system. The energy is in the spin. Say that object is out in normal interstellar space. We can tell it is spinning relative to the other stars, that give us a fixed background. A piece breaks loose and is thrown out in the direction of momentum at the point it breaks free. Is this due to those other stars giving a stable frame, or is there a stable frame anyway? If those stars were not visible, didn't exist, so there would be NO point of OUTSIDE reference to determine the spin, would this affect whether the object is spinning and thus the velocity and direction of the piece that came loose?