Matches in SemOpenAlex for { <https://semopenalex.org/work/W4320341920> ?p ?o ?g. }
Showing items 1 to 55 of
55
with 100 items per page.
- W4320341920 abstract "The unstable top-equilibrium point of a simple pendulum turns stable when its pivot point is given a fast and strong enough vertical vibration. Known as the Kapitza oscillator, it has four symmetrically spaced points of equilibrium in absence of gravity, out of which two are stable and two are unstable. This article, completely based on a geometric argument and an elementary intuition in Newtonian mechanics, is a visual and pedagogical exposition of (a) why the oscillator has four symmetrically spaced equilibrium points in absence of gravity, (b) which of them are stable or unstable, (c) why they are so and (d) how the stability and position and number of the equilibrium points change when gravity is turned on gradually along the line of vibration of the pivot of the oscillator. A minimal impulsive drive of the pivot is sufficient to illustrate the bare bones of the phenomenon. I propose a construction that can sustain the minimal drive passively in absence of dissipative forces, or actively if all dissipative forces can't be eliminated. In either of the cases, the discussed arguments apply." @default.
- W4320341920 created "2023-02-13" @default.
- W4320341920 creator A5027148022 @default.
- W4320341920 date "2022-12-15" @default.
- W4320341920 modified "2023-09-23" @default.
- W4320341920 title "Minimally driven Kapitza oscillator: A pedagogical perspective from Newtonian mechanics and geometry" @default.
- W4320341920 doi "https://doi.org/10.48550/arxiv.2212.09502" @default.
- W4320341920 hasPublicationYear "2022" @default.
- W4320341920 type Work @default.
- W4320341920 citedByCount "0" @default.
- W4320341920 crossrefType "posted-content" @default.
- W4320341920 hasAuthorship W4320341920A5027148022 @default.
- W4320341920 hasBestOaLocation W43203419201 @default.
- W4320341920 hasConcept C121332964 @default.
- W4320341920 hasConcept C152442685 @default.
- W4320341920 hasConcept C158622935 @default.
- W4320341920 hasConcept C164466805 @default.
- W4320341920 hasConcept C167183279 @default.
- W4320341920 hasConcept C192921069 @default.
- W4320341920 hasConcept C294558 @default.
- W4320341920 hasConcept C33923547 @default.
- W4320341920 hasConcept C62520636 @default.
- W4320341920 hasConcept C74650414 @default.
- W4320341920 hasConcept C78045399 @default.
- W4320341920 hasConcept C94766913 @default.
- W4320341920 hasConcept C99692599 @default.
- W4320341920 hasConceptScore W4320341920C121332964 @default.
- W4320341920 hasConceptScore W4320341920C152442685 @default.
- W4320341920 hasConceptScore W4320341920C158622935 @default.
- W4320341920 hasConceptScore W4320341920C164466805 @default.
- W4320341920 hasConceptScore W4320341920C167183279 @default.
- W4320341920 hasConceptScore W4320341920C192921069 @default.
- W4320341920 hasConceptScore W4320341920C294558 @default.
- W4320341920 hasConceptScore W4320341920C33923547 @default.
- W4320341920 hasConceptScore W4320341920C62520636 @default.
- W4320341920 hasConceptScore W4320341920C74650414 @default.
- W4320341920 hasConceptScore W4320341920C78045399 @default.
- W4320341920 hasConceptScore W4320341920C94766913 @default.
- W4320341920 hasConceptScore W4320341920C99692599 @default.
- W4320341920 hasLocation W43203419201 @default.
- W4320341920 hasOpenAccess W4320341920 @default.
- W4320341920 hasPrimaryLocation W43203419201 @default.
- W4320341920 hasRelatedWork W1989460575 @default.
- W4320341920 hasRelatedWork W2063948482 @default.
- W4320341920 hasRelatedWork W2081940774 @default.
- W4320341920 hasRelatedWork W2167651155 @default.
- W4320341920 hasRelatedWork W2597682455 @default.
- W4320341920 hasRelatedWork W2950217169 @default.
- W4320341920 hasRelatedWork W3104449281 @default.
- W4320341920 hasRelatedWork W3150624563 @default.
- W4320341920 hasRelatedWork W3197712873 @default.
- W4320341920 hasRelatedWork W4281476620 @default.
- W4320341920 isParatext "false" @default.
- W4320341920 isRetracted "false" @default.
- W4320341920 workType "article" @default.