Reaction forces on a ladder leaning on a rough wall
The determination of the reactions on a ladder is discussed including friction against the wall. In a recent article, this problem was studied considering elastic compression and it was argued that an additional condition holds that allows one to find all the reactions. We show that this condition i...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00029505_v64_n8_p1001_Gonzalez |
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todo:paper_00029505_v64_n8_p1001_Gonzalez2023-10-03T13:54:48Z Reaction forces on a ladder leaning on a rough wall González, A.G. Gratton, J. The determination of the reactions on a ladder is discussed including friction against the wall. In a recent article, this problem was studied considering elastic compression and it was argued that an additional condition holds that allows one to find all the reactions. We show that this condition is incorrect for typical ladders, when flexion is important. We clarify the issues of static determinacy by means of an analysis that takes into account both compression and flexion. We find that when the climber arrives at the top, the result depends on which deformation prevails. We conclude that the reactions can never be determined using only statics, because there is no way to ascertain which kind of deformation dominates, and so which limiting condition will be attained, if any. © 1996 American Association of Physics Teachers. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00029505_v64_n8_p1001_Gonzalez |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
The determination of the reactions on a ladder is discussed including friction against the wall. In a recent article, this problem was studied considering elastic compression and it was argued that an additional condition holds that allows one to find all the reactions. We show that this condition is incorrect for typical ladders, when flexion is important. We clarify the issues of static determinacy by means of an analysis that takes into account both compression and flexion. We find that when the climber arrives at the top, the result depends on which deformation prevails. We conclude that the reactions can never be determined using only statics, because there is no way to ascertain which kind of deformation dominates, and so which limiting condition will be attained, if any. © 1996 American Association of Physics Teachers. |
| format |
JOUR |
| author |
González, A.G. Gratton, J. |
| spellingShingle |
González, A.G. Gratton, J. Reaction forces on a ladder leaning on a rough wall |
| author_facet |
González, A.G. Gratton, J. |
| author_sort |
González, A.G. |
| title |
Reaction forces on a ladder leaning on a rough wall |
| title_short |
Reaction forces on a ladder leaning on a rough wall |
| title_full |
Reaction forces on a ladder leaning on a rough wall |
| title_fullStr |
Reaction forces on a ladder leaning on a rough wall |
| title_full_unstemmed |
Reaction forces on a ladder leaning on a rough wall |
| title_sort |
reaction forces on a ladder leaning on a rough wall |
| url |
http://hdl.handle.net/20.500.12110/paper_00029505_v64_n8_p1001_Gonzalez |
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AT gonzalezag reactionforcesonaladderleaningonaroughwall AT grattonj reactionforcesonaladderleaningonaroughwall |
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1807319905886797824 |