Pendule simple (French)

Le mouvement d'un pendule simple lâché sans vitesse initiale dépend certes de la hauteur initiale; cependant (comme l'avait constaté Galilée) pour des oscillations de petite amplitude, la période est sensiblement constante. Dans cette animation, on peut faire varier la position initiale. La période (calculée par une formule compliquée) est affichée. Le graphe en couleur est l'hodographe, figure où un point repère le couple vitesse-position. À sa gauche est la courbe particulière qui correspond à la position initiale choisie.


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La période des petites oscillations est voisine de … Pour des petites valeurs initiales on peut constater une période voisine de cela. En revanche quand l'angle initial est proche de la période s'allonge indéfiniment.


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