Comment on: “Sliding down over a horizontally moving semi-sphere”. (English) Zbl 1518.70005
Summary: In a recent paper [Eur. J. Phys. 43, No. 3, Article ID 035004, 12 p. (2022; Zbl 1512.70007)], R. A. Lineros considers a block (not necessarily initially at rest) which slides down from the top of a frictionless horizontal movable semi-sphere. The author studies the angle at which the block loses contact with the sphere and derives a cubic equation which determines that angle. In this comment, a considerably more elementary derivation of that result is presented.
MSC:
| 70E18 | Motion of a rigid body in contact with a solid surface |
Keywords:
Newtonian mechanics; equations of motion; vectorial mechanics; reaction forces; frictionless slidingCitations:
Zbl 1512.70007References:
| [1] | Lineros, R. A., Eur. J. Phys., 43 (2022) · Zbl 1512.70007 · doi:10.1088/1361-6404/ac5a06 |
| [2] | Taylor, J. R., Classical Mechanics (2003), Melville: University Science Books, Melville |
| [3] | Marion, J. B.; Thornton, S. T., Classical Dynamics of Systems and Particle (1995), Fort Worth: Saunders College, Fort Worth |
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