Conics and a generalised conical pendulum

Autor:	Theresa Wigmore, Daniel Daners
Rok vydání:	2019
Předmět:	Physics Classical mechanics Circular motion Conic section General Mathematics 010102 general mathematics Angular velocity 0101 mathematics Horizontal plane Ellipse 01 natural sciences Conical pendulum String (physics)
Zdroj:	The Mathematical Gazette. 103:28-40
ISSN:	2056-6328 0025-5572
DOI:	10.1017/mag.2019.4
Popis:	There is a long tradition of using geometry to solve problems from mechanics. Unfortunately this tradition is not practised much in schools and university any more.With this exposition we would like to demonstrate how elementary properties of ellipses can be used to solve a problem related to the conical pendulum. The problem of the conical pendulum is to consider a mass attached to one end of a light inextensible string of length with the other end attached at the top of a vertical rod. The mass is moving about the rod in uniform circular motion in a horizontal plane. Given the angular velocity of the mass, the question is to determine the angle the string makes with the rod.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::030f03c72fdeb1a95bf44b218f5c780b https://doi.org/10.1017/mag.2019.4 Zobrazit plný text záznamu