Mechanical systems subjected to impulsive constraints

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, , Citation Alberto Ibort et al 1997 J. Phys. A: Math. Gen. 30 5835 DOI 10.1088/0305-4470/30/16/024

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1 Departamento de Física Teórica, Universidad Complutense de Madrid, 28040 Madrid, Spain

2 Instituto de Matemáticas y Física Fundamental, CSIC, Serrano 123, 28006 Madrid, Spain

3 Departamento de Economía Aplicada Cuantitativa, UNED, 28040 Madrid, Spain

4 Instituto de Fisica, Departamento de Fisica Matematica, Universidad Federal do Rio de Janeiro, Cidade Universitaria, CT Bloco A, 21944, Rio de Janeiro, RJ, Brazil

Dates

  1. Received 18 April 1997

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0305-4470/30/16/5835

Abstract

A geometrical description of mechanical systems subjected to impulsive non-holonomic constraints is given. Their motions are determined by means of suitable projection operators which allow us to evaluate the instantaneous jumps of momenta due to the action of impulsive reaction forces. Several paradigmatic examples are investigated from this viewpoint: a disk falling into a plane, a rolling ball hitting a wall and the collision of two balls.

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