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Spherical Pendulum: Pendulum, Mass, Sphere -

English
2026-03-20
€207.26 €259.07

-20% with code BOOKS

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High Quality Content by WIKIPEDIA articles! Spherical pendulum is a generalization of the pendulum. It consists of a mass moving without friction on a sphere. The only forces acting on the mass are the reaction from the sphere and gravity. It is convenient to use spherical coordinates and describe the position of the mass in terms of (r,¿,¿), where r is fixed. The Lagrangian is L=frac{1}{2} mr^2left( dot{th ... Full description

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Description

High Quality Content by WIKIPEDIA articles! Spherical pendulum is a generalization of the pendulum. It consists of a mass moving without friction on a sphere. The only forces acting on the mass are the reaction from the sphere and gravity. It is convenient to use spherical coordinates and describe the position of the mass in terms of (r,¿,¿), where r is fixed. The Lagrangian is L=frac{1}{2} mr^2left( dot{theta}^2+sin^2theta dot{phi}^2 right) + mgrcostheta. The Euler-Lagrange equations give frac{d}{dt} left(mr^2dot{theta} right) -mr^2sinthetacosthetadot{phi}^2+ mgrsintheta =0 and frac{d}{dt} left( mr^2sin^2theta , dot{phi} right) =0 showing that angular momentum is conserved.

More Information

Publisher OmniScriptum
Release year 2026
Cover type Softcover
EAN 9786131190445
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€207.26 €259.07