Balance and the Pas de Deux Alejandro Garcia
Pas de Deux Translated literally from the French, pas de deux means “step of two.” In ballet this term refers to a dance of two persons, typically a man and a woman dancing as partners. Photo from Physics and the Art of Dance by K. Laws
Forces on the Ballerina Forces acting on the ballerina are: Gravity Support (floor) Friction (floor) Friction (hands) Friction (CG) X Gravity Support (Floor) Friction Without her partner, the ballerina would fall forward.
Dancers as a Single Object Taken as a single object, the dancers’ center of gravity is located, roughly, as shown. The upward vertical support force of the floor balances the gravity force (their total weight) X (CG) Gravity Support (Floor) Support (Floor) Support (Floor)
Base of Support The pose is stable as long as the center of gravity is located above the base of support, the area outlined below.
References For more information on balance and the physics of the pas de deux: Physics and the Art of Dance: Understanding Movement, Kenneth Laws, Oxford University Press (2002) Chapter 6, The Pas de Deux Conceptual Physics , Paul G. Hewitt, Addison Wesley (2005) Chapter 10, Rotational Motion