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What is the lagrangian of a system of A particle of mass m which is constrained to move on the surface of a sphere which is at rest at ground?
Wiki User
∙ 14y ago
L=1/2m(r'^2+r^2*Sin[theta]^2*phi'^2+r^2*theta'^2)-mgr Sin[theta].
Where theta is the polar angle from the z axis, and phi is the azimuthal. I assumed a uniform grav field down.
Wiki User
∙ 14y ago
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