Consider a spherical pendulum (like the one in the Physics Auditorium Bldg.), compared to a plane...

Consider a spherical pendulum (like the one in the Physics Auditorium Bldg.), compared to a plane pendulum, it is allowed to move in 3 dimensions describing a cone as it swings around.

a. Choose appropriate coordinates to describe the system and write down a Lagrangian describing the motion of a mass m attached to the end of such a pendulum of length L.

b. Use the Lagrangian to find the equations of motion of the system.

c. Find first integrals (if they exist). d. Find the generalized momenta.

Expert Solution

genius_generous answered 2 years ago

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