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Sep 16, 2020 at 6:08 comment added gandalf61 @Buraian The linear acceleration of the string and hence of the pulley is limited by the inertia of the two masses. The angular acceleration of the pulley is inversely proportional to its radius. So if you had a pulley with a negligible mass and small radius then it would have a very high (but still finite) angular acceleration.
Sep 15, 2020 at 22:50 comment added Brian Right, I agree with you but that wasn't the point I wanted to convey. What I really wanted to say was about the possibilty of the object still rotating at high speeds.
Sep 15, 2020 at 22:43 comment added alephzero @Buraian "infinite" does not mean the same as "very large". Very large angular accelerations are realistic (ignoring relativistic effects if they are really large). an "Infinite acceleration" is meaningless, because "infinity" is not a number and therefore doesn't measure the size of anything.
Sep 15, 2020 at 14:42 comment added Brian I'm not sure why infinite / large angular acceleration is deemed unrealisitc. Imagine applying some torque on a light rod, it'd do some really quick rotations
Sep 15, 2020 at 14:30 history answered gandalf61 CC BY-SA 4.0