6533b7d9fe1ef96bd126b955
RESEARCH PRODUCT
One pendulum to run them all
J A OteoG. Barenboimsubject
PhysicsFoucault pendulumPendulumGeneral Physics and AstronomyClassical Physics (physics.class-ph)FOS: Physical sciencesPhysics - Classical PhysicsPopular Physics (physics.pop-ph)Physics - Popular PhysicsSystem of linear equationsRotating reference framePartícules (Física nuclear)Analytical Solutionlaw.inventionPhysics::Popular PhysicsClassical mechanicslawCentrifugal accelerationsAttractordescription
The analytical solution for the three-dimensional linear pendulum in a rotating frame of reference is obtained, including Coriolis and centrifugal accelerations, and expressed in terms of initial conditions. This result offers the possibility of treating Foucault and Bravais pendula as trajectories of the same system of equations, each of them with particular initial conditions. We compare them with the common two-dimensional approximations in textbooks. A previously unnoticed pattern in the three-dimensional Foucault pendulum attractor is presented.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-04-30 |