Derive the Lagrange's equations of motion fora disk that is rolling down an inclined planewithout slipping as shown in the figure. Alsofind the forces of constraints by using themethod of Lagrange's multipliers andinterpret the results.In the above question if the disk rolls down without slipping and constraintrelation must hold good, instead two degrees of freedom we have one degreeof freedom. In that case obtain Lagrange's equation using 0 as independentcoordinate. Solve the equation and interpret the result.M.

Lagrangian mechanics is used to find equations of motion of particles in a system with constraints.…

Derive the Lagrange's equations of motion for a disk that is rolling down an inclined plane without slipping as shown in the figure. Also find the forces of constraints by using the method of Lagrange's multipliers and interpret the results. M In the above question if the disk rolls down without slipping and constraint relation must hold good, instead two degrees of freedom we have one degree of freedom. In that case obtain Lagrange's equation using 0 as independent coordinate. Solve the equation and interpret the result.

Derive the Lagrange's equations of motion for a disk that is rolling down an inclined plane without slipping as shown in the figure. Also find the forces of constraints by using the method of Lagrange's multipliers and interpret the results. M In the above question if the disk rolls down without slipping and constraint relation must hold good, instead two degrees of freedom we have one degree of freedom. In that case obtain Lagrange's equation using 0 as independent coordinate. Solve the equation and interpret the result.

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 7.3P

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