Consider the “Foucault pendulum”, as shown below. Foucault set up his 1851 spherical pendulum (of mass m and length L) experiment in the Pantheon dome of Paris, showing that the plane of oscillation rotates and takes about 1.3 days to fully revolve around. This demonstrated the extent to which Earth’s surface is not an inertial reference frame (e.g., role of the Coriolis force). Your task here is to determine (but not solve) the equations of motion.

Consider the “Foucault pendulum”, as shown below. Foucault set up his 1851 spherical pendulum (of mass m and length L) experiment in the Pantheon dome of Paris, showing that the plane of oscillation rotates and takes about 1.3 days to fully revolve around. This demonstrated the extent to which Earth’s surface is not an inertial reference frame (e.g., role of the Coriolis force). Your task here is to determine (but not solve) the equations of motion.

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 7.27P

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