Particle of mass m slides without friction on a wedge of angle alpha and mass M that can move without friction on a smooth horizontal surface,as shown in the figure.Treating the constraint of the particle on the wedge by the method of Lagrange multipliers,find the equation of motion for the particle and wedge.Also obtain an expression for the forces of constraint.Calculate the work done in time t by the forces of constraint acting on the particle and on the wedge.what are the constants of motion for the

Particle of mass m slides without friction on a wedge of angle alpha and mass M that can move without friction on a smooth horizontal surface,as shown in the figure.Treating the constraint of the particle on the wedge by the method of Lagrange multipliers,find the equation of motion for the particle and wedge.Also obtain an expression for the forces of constraint.Calculate the work done in time t by the forces of constraint acting on the particle and on the wedge.what are the constants of motion for the

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics

Section: Chapter Questions

Problem 7.1P

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