Timeline for how is this kind of rolling motion possible?
Current License: CC BY-SA 3.0
7 events
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Jul 23, 2015 at 17:41 | comment | added | Michael Seifert | Yes, your method is valuable as well—conservation laws can obscure the fine details of the dynamics, and it's good to go back to Newton's Laws (if you can) to find out what's really happening. Also: the angular momentum result I used isn't really the "parallel-axis theorem" as I understand the term; it's usually reserved for the theorem about the moment of inertia of rigid objects rotating about a point other than their CM. (The sphere isn't rotating about such a point in this case.) | |
Jul 23, 2015 at 16:07 | history | edited | CR Drost | CC BY-SA 3.0 |
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Jul 23, 2015 at 16:06 | comment | added | CR Drost | @MichaelSeifert I've changed "Massey" to "massé" as you do indeed seem to be right; I had just absorbed two independent pieces of information that I assumed were backed by the same word. The angular momentum derivation I feel is an interesting case of Ovid's "video meliora proboque deteriora sequor" or Einstein's "chalk is cheaper than grey matter": I saw indeed that derivation (I'd mention the "parallel axis theorem" to help the student Google more) and it is much simpler and more profound, but since the question was "how is this possible?" I wanted to be more kinematic. | |
Jul 23, 2015 at 15:52 | history | edited | CR Drost | CC BY-SA 3.0 |
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Jul 23, 2015 at 15:30 | comment | added | Michael Seifert | Also, I'm 99.9% sure it's a "massé" shot, not a "Massey" shot. The OED says that the word dates back to the late 19th century, long before Mike Massey was born. | |
Jul 23, 2015 at 15:26 | comment | added | Michael Seifert | Note also that the quoted result says that $\omega_0 < 2 v_0/R$, rather than greater than. This may have just been a typo, though. My answer (using angular momentum conservation) agrees with yours. | |
Jul 23, 2015 at 15:04 | history | answered | CR Drost | CC BY-SA 3.0 |