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{"type":"standard","title":"Kapitza's pendulum","displaytitle":"Kapitza's pendulum","namespace":{"id":0,"text":""},"wikibase_item":"Q4286430","titles":{"canonical":"Kapitza's_pendulum","normalized":"Kapitza's pendulum","display":"Kapitza's pendulum"},"pageid":31437286,"thumbnail":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Kapitza_pendulum.svg/330px-Kapitza_pendulum.svg.png","width":320,"height":514},"originalimage":{"source":"https://upload.wikimedia.org/wikipedia/commons/thumb/a/a1/Kapitza_pendulum.svg/581px-Kapitza_pendulum.svg.png","width":581,"height":933},"lang":"en","dir":"ltr","revision":"1290361498","tid":"30d01041-30aa-11f0-aed5-a1bcc7f1ea2b","timestamp":"2025-05-14T09:59:57Z","description":"Rigid pendulum","description_source":"local","content_urls":{"desktop":{"page":"https://en.wikipedia.org/wiki/Kapitza's_pendulum","revisions":"https://en.wikipedia.org/wiki/Kapitza's_pendulum?action=history","edit":"https://en.wikipedia.org/wiki/Kapitza's_pendulum?action=edit","talk":"https://en.wikipedia.org/wiki/Talk:Kapitza's_pendulum"},"mobile":{"page":"https://en.m.wikipedia.org/wiki/Kapitza's_pendulum","revisions":"https://en.m.wikipedia.org/wiki/Special:History/Kapitza's_pendulum","edit":"https://en.m.wikipedia.org/wiki/Kapitza's_pendulum?action=edit","talk":"https://en.m.wikipedia.org/wiki/Talk:Kapitza's_pendulum"}},"extract":"Kapitza's pendulum or Kapitza pendulum is a rigid pendulum in which the pivot point vibrates in a vertical direction, up and down. It is named after Russian Nobel Prize laureate physicist Pyotr Kapitza, who in 1951 developed a theory which successfully explains some of its unusual properties. The unique feature of the Kapitza pendulum is that the vibrating suspension can cause it to balance stably in an inverted position, with the bob above the suspension point. In the usual pendulum with a fixed suspension, the only stable equilibrium position is with the bob hanging below the suspension point; the inverted position is a point of unstable equilibrium, and the smallest perturbation moves the pendulum out of equilibrium. In nonlinear control theory the Kapitza pendulum is used as an example of a parametric oscillator that demonstrates the concept of \"dynamic stabilization\".","extract_html":"
Kapitza's pendulum or Kapitza pendulum is a rigid pendulum in which the pivot point vibrates in a vertical direction, up and down. It is named after Russian Nobel Prize laureate physicist Pyotr Kapitza, who in 1951 developed a theory which successfully explains some of its unusual properties. The unique feature of the Kapitza pendulum is that the vibrating suspension can cause it to balance stably in an inverted position, with the bob above the suspension point. In the usual pendulum with a fixed suspension, the only stable equilibrium position is with the bob hanging below the suspension point; the inverted position is a point of unstable equilibrium, and the smallest perturbation moves the pendulum out of equilibrium. In nonlinear control theory the Kapitza pendulum is used as an example of a parametric oscillator that demonstrates the concept of \"dynamic stabilization\".
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