Non-Noether Conserved Quantity of Nonholonomic System Having VariableMass and Unilateral Constraints

Using the Lie Symmetry under infinitesimal transformations inwhich the time is not variable, the non-Noether conserved quantityof nonholonomic system having variable mass and unilateralconstraints is studied. The differential equations of motionof the system are given. The determining equations of Liesymmetrical transformations of the system under infinitesimaltransformations are constructed. The Hojman's conservationtheorem of the system is established. Finally, we give anexample to illustrate the application of the result.