›› 2006, Vol. 25 ›› Issue (10): 11-11.

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Study of the damped motions of falling body in analytical mechanics

  

  • Online:2006-10-25 Published:2006-10-20

Abstract: By using the theories and techniques of analytical mechanics,the damped motions of falling body are studied in two cases: 1) damping resistance varying as v ;2) damping resistance varying as v2. The equivalent Lagrangian and Hamihonian of each case are shown, and different ways of obtaining the solution, such as first integral,point transformation,canonical transformation and Hamihon-Jacobi equation are discussed.

Key words: damped motion of falling body, analytical mechanics, inverse problem of analytical mechanics, equivalent Lagrangian function, non-conservative system

CLC Number: 

  • O316