I need the answer as soon as possible 6. A hemispherical bowl of radius a is held fixed with its rim upwards and horizontal. A particleof mass m moves without friction on its inner surface while being subject to the gravitationalforce -mg (see figure).(a) Find the Lagrangian of the system in terms of spherical polar coordinates.(b) Derive the corresponding equations of motion using the Euler-Lagrange formulation.(c) Show that it is possible to have circular orbits with 0 00, a constant. Find an equationof 0o in terms of m, g, a and a constant of motion.

Lagrangian of a system is the difference between kinetic energy and potential energy of that system.…

Answered: A hemispherical bowl of radius a is…

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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