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Spherical Pendulum: Pendulum, Mass, Sphere -

inglise keel
2026-03-20
155,44 € 259,07 €

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Saadetis 15-21 tööpäeva jooksul

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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 ... Täielik kirjeldus

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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{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.

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Kirjastaja OmniScriptum
Väljalaskeaasta 2026
Kaanetüüp Pehme kaanega
EAN 9786131190445
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Te vaatate: Spherical Pendulum: Pendulum, Mass, Sphere
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155,44 € 259,07 €